Geometry.Net - the online learning center
Home  - Pure_And_Applied_Math - Universal Algebra
e99.com Bookstore
  
Images 
Newsgroups
Page 1     1-20 of 95    1  | 2  | 3  | 4  | 5  | Next 20

         Universal Algebra:     more books (100)
  1. Universal Algebra by George Grätzer, 2008-05
  2. Universal Algebra and Lattice Theory (Lecture Notes in Mathematics)
  3. Algebras and Orders (NATO Science Series C: (closed))
  4. Dualisability: Unary Algebras and Beyond (Advances in Mathematics) by Jane Pitkethly, Brian Davey, 2005-07-29
  5. Universal Algebra (Mathematics and Its Applications) by P.M. Cohn, 1981-04-30
  6. A Course in Universal Algebra (Graduate texts in mathematics) by S. Burris, H.P. Sankappanavar, 1982-03
  7. Universal Algebra and Applications in Theoretical Computer Science by Klaus Denecke, Shelly L. Wismath, 2002-01-18
  8. Structural Theory of Automata, Semigroups, and Universal Algebra: Proceedings of the NATO Advanced Study Institute on Structural Theory of Automata, Semigroups and Universal Algebra, Montreal, Quebec, Canada, 7-18 July 2003 (NATO Science Series II: Mathematics, Physics and Chemistry, Vol. 207)
  9. Lattices, Semigroups, and Universal Algebra
  10. Universal Algebra by George A. Gratzer, 1979-06
  11. Algebraic Logic and Universal Algebra in Computer Science (Lecture Notes in Computer Science)
  12. Further Algebra and Applications by Paul M. Cohn, 2003-01-31
  13. Universal Algebra for Computer Scientists (E a T C S Monographs on Theoretical Computer Science) by Wolfgang Wechler, 1992-04
  14. Universal Algebra, Algebraic Logic, and Databases (Mathematics and Its Applications) by B. Plotkin, 1994-01-31

1. A Course In Universal Algebra
A Course in universal algebra by Stanley Burris and H. P. Sankappanavar. PostScript and PDF.
http://www.thoralf.uwaterloo.ca/htdocs/ualg.html
A Course in Universal Algebra
** The Millennium Edition **
by
Stanley N. Burris and H.P. Sankappanavar
To promote the study of Universal Algebra in the new millennium, the text of the out-of-print original Springer-Verlag Graduate Texts in Mathematics edition, 1981, of A Course in Universal Algebra has been corrected and put in forms suitable for the WWW. Thanks to the support of NSERC it is now available in 8.5 by 11 in. format , using 12 pt. type , in Postscript (PS) format and in Adobe Acrobat PDF format. The postscript file is also available in three different compressions: gzip (.gz), compress (.Z), and zip (.zip). Feel free to download and print off your own copy. And be sure to tell others that this text is once again available! Colleagues have noted the value of downloading a copy and attaching it to their webpage, especially for the benefit of their students who may not have fast access to this site. Please feel free to do this as well. And it would be appreciated if you put a link to this site, www.thoralf.uwaterloo.ca

2. UA
universal algebra and lattice theory bibliographic database ( maintained by Ralph Freese) . universal algebra discussion group ( moderated by Bill Rowan)
http://spot.colorado.edu/~kearnes/ua.html
General
Algebra
Lattice
Theory

Conferences in general algebra

Colleagues in general algebra and related fields

Mathematical Structures home page
(maintained by Peter Jipsen)
Universal algebra and lattice theory bibliographic database
(maintained by Ralph Freese)
Universal algebra discussion group
(moderated by Bill Rowan)
A general algebra calculator program
(written by Ralph Freese and Emil W. Kiss)
Related Links Algebra Universalis home page Homepage of the Arbeitstagung Allgemeine Algebra (AAA) Dresden formal concept analysis page Semigroups ... Mathematical Logic around the world

3. An Algebra Calculator Program.
An algebra calculator program. The universal algebra Calculator is a mathematical program SankappanawarA course in universal algebra. It can be freely downloaded from
http://www.math.hawaii.edu/~ralph/software/uaprog
An algebra calculator program
The Universal Algebra Calculator is a mathematical program. It performs computations related to general algebraic structures. Authors:
  • Ralph S. Freese (ralph at math hawaii edu)
  • Emil W. Kiss (ewkiss at cs elte hu)
New Easy Downloading and Running!!
Mac OS X Windows Linux Solaris ...
Directions to quickly see the program in action!
Contents
Main features and availability
The present version has the following math functionalities:
  • Form direct products.
  • Create a factor algebra.
  • Generate a subalgebra in a direct power.
  • Create free algebras in a finitely generated variety.
  • Compute the congruence lattice of an algebra.
  • Compute the Tame Congruence Theoretic type labeling.
  • Compute four types of centrality.
  • Compute all unary polynomials.
  • Compute minimal neighborhoods.
The program has a Graphical User Interface to access these functionalities via menus. In addition, this interface provides the facilities to
  • Create and edit algebras using operation tables.

4. Stan's Home Page
University of Waterloo universal algebra, logic, computers.
http://www.thoralf.uwaterloo.ca/
Stanley N. Burris Professor Emeritus and Adjunct Professor
Department of Pure Mathematics

University of Waterloo
Phone: 519-888-4567 Ext: 5556
Fax: 519-725-0160
E-mail: snburris@thoralf.uwaterloo.ca Research Interests:
Universal Algebra, Logic, Computers

5. Lattices, Universal Algebra And Applications
Lisbon, Portugal; 2830 May 2003.
http://www.ptmat.fc.ul.pt/~uaconf03/
Lattices, Universal Algebra and Applications Lisbon May 28-30, 2003 CAUL The conference included six invited lectures and about thirty contributed talks. Over 60 participants came from all over Europe, plus Japan, Canada and the United States.
Larger picture
Main Speakers Program and Abstracts Conference fee ... Organizing Committee
Conference location
The conference took place at the Complexo Interdisciplinar da Universidade de Lisboa , Avenida Professor Gama Pinto, 2, 1609-003 LISBOA.
Maps and directions can be obtained from CAUL's website
Invited speakers
W. Blok (University of Illinois at Chicago)
M. Gehrke
(New Mexico State University)
M. Haviar
(Matej Bel University)
K. Kearnes
(University of Colorado)
B. Monjardet
(University of Paris I)
D. Mundici
(University of Florence)
Organizing Committee
Gabriela Bordalo (CAUL, University of Lisbon)
Isabel Ferreirim (CAUL, University of Lisbon)
Program and Abstracts
The Conference Program is available, in

6. Universal Algebra From FOLDOC
universal algebra. logic The model theory of firstorderequational UNITY «. Univac «. universal algebra ». Universal Asynchronous Receiver/Transmitter ». Universal Character Set
http://wombat.doc.ic.ac.uk/foldoc/foldoc.cgi?Universal algebra

7. Universal Algebra - Wikipedia, The Free Encyclopedia
universal algebra. From encyclopedia. universal algebra is the field of mathematics that studies the ideas common to all algebraic structures.
http://en.wikipedia.org/wiki/Universal_algebra
Universal algebra
From Wikipedia, the free encyclopedia.
Universal algebra is the field of mathematics that studies the ideas common to all algebraic structures Table of contents 1 Basic idea 2 Examples 2.1 Groups
2.2 Modules
... edit
Basic idea
From the point of view of universal algebra, an algebra is a set A together with a collection of operations on A . An n ary operation on A is a function that takes n elements of A and returns a single element of A . Thus, a 0-ary operation (or nullary operation ) is simply an element of A , or a constant , often denoted by a letter like a . A 1-ary operation (or unary operation ) is simply a function from A to A , often denoted by a symbol placed in front of its argument, like ~ x . A 2-ary operation (or binary operation ) is often denoted by a symbol placed between its arguments, like x y . Operations of higher or unspecified arity are usually denoted by function symbols, with the arguments placed in parentheses and separated by commas, like f x y z ) or f x x n After the operations have been specified, the nature of the algebra can be further limited by axioms , which in universal algebra must take the form of equational laws. An example is the

8. Talk:Abstract Algebra - Wikipedia, The Free Encyclopedia
Maybe there s also a confusion with universal algebra? AxelBoldt. In any case, we need an article on universal algebra. Zundark, 200109-04.
http://en.wikipedia.org/wiki/Talk:Abstract_algebra
Talk:Abstract algebra
From Wikipedia, the free encyclopedia.
Is it common usage to call a group "an abstract algebra"? I think of abstract algebra as a field of mathematics which studies algebraic structures such as groups. And the term "abstract" is only used if there is a need to distinguish it from elementary or college algebra. Maybe there's also a confusion with universal algebra? AxelBoldt I thought it was a bit odd too. I would have used the term "algebraic system". In universal algebra they would just be called "algebras" (except for modules and vector spaces, which don't qualify because of the external multiplication). I'm not sure what to do about it at the moment. In any case, we need an article on universal algebra. Zundark
From the (principal so far) author of the article on universal algebra : Modules and vector spaces are indeed covered under universal algebra if you fix the ring R that the modules are over. But scalar multiplication is not a binary operation of course; instead, for each element r of R , you have a unary operation "scalar multiplication by r ". There's no rule that says, for example, that you must have only finitely many operations!

9. Hermann Grassmann And The Prehistory Of Universal Algebra
NEXT PAGE. Hermann Grassmann and the Prehistory of universal algebra. Desmond FearnleySander.
http://www.maths.utas.edu.au/People/dfs/Papers/GrassmannUAlgpaper/GrassmannUAlgp
NEXT PAGE
Hermann Grassmann and the Prehistory of Universal Algebra
Desmond Fearnley-Sander
This paper appeared in the American Mathematical Monthly 89 (1982), 161-166. Your comments are welcome: dfs@hilbert.maths.utas.edu.au This html document was generated using the LaTeX HTML Nikos Drakos , Computer Based Learning Unit, University of Leeds.
Links Go Key Resource
History of Mathematics

10. The Cornell Library Historical Mathematics Monographs
Scanned GIF images of the full text of this 1898 work by Whitehead. Part of the Cornell Library Historical Mathematics Monographs.
http://historical.library.cornell.edu/cgi-bin/cul.math/docviewer?did=01950001&am

11. Universal Algebra
INTRODUCTORY COURSE ON LOGIC AND universal algebra. Yde Venema we will treat some of the connections between logic and universal algebra. The course will naturally fall out into two
http://math.vanderbilt.edu/~pjipsen/luatcs99/info/venema.html
INTRODUCTORY COURSE ON LOGIC AND UNIVERSAL ALGEBRA
Yde Venema
Download the course notes (venemaLUA.ps, 337K) In this introductory course we will treat some of the connections between logic and universal algebra. The course will naturally fall out into two parts:
  • Algebra as Logic
    In the first part of the course we treat universal algebra from a logical perspective. The focus will be on equational logic. The main result we will prove is Birkhoff's completeness theorem. Logic as Algebra
    In the second part of the course we will see how logical questions can be treated in an algebraic framework. We will concentrate on propositional logic and Boolean algebras and work towards Stone's representation theorem.
No background in logic or universal algebra is presupposed other than will be treated in the parallel courses on Universal Algebra and Logic, respectively.

12. A Sketch Of The Prehistory Of Universal Algebra
A Sketch of the Prehistory of universal algebra. Birkhoff has said (in 3) that it was from this book that he borrowed the name ``universal algebra .
http://www.maths.utas.edu.au/People/dfs/Papers/GrassmannUAlgpaper/node2.html
NEXT PAGE CONTENTS PREVIOUS PAGE
A Sketch of the Prehistory of Universal Algebra
There are some branches of mathematics to which one may arguably assign a clearly defined starting point. In the case of Universal Algebra what suggests itself as the beginning, at least in a narrow sense, is Garrett Birkhoff's paper [1] On the Structure of Abstract Algebras which appeared in the Proceedings of the Cambridge Philosophical Society in 1935. Here the definition of a Universal Algebra appears for the first time and the broad outlines of the subject may already be discerned. In particular ``abstract algebras are divided by a very simple scheme into self-contained `species'. Within each species a perfect duality is found between families of formal laws and the families of algebras satisfying them''. Here the term ``family of algebras of a given species'' is used in a technical sense meaning a class closed under taking subalgebras, homomorphic images and direct products - or what is nowadays called a variety This said, one must point out that undoubtedly the most influential figure in the movement towards abstraction and generality in algebra which culminated in Universal Algebra was Emmy Noether, who died in 1935. In the twenties her school had investigated the notion of a group with operators, which is already very general, including, for example, groups, rings and linear spaces. As Birkhoff himself said in 1946 [2] ``they had developed many of the most important ideas of Universal Algebra'' - for example, the three fundamental isomorphism theorems, which are now recognized as theorems of Universal Algebra, were given for groups with operators in van der Waerden's

13. Universal Algebra From MathWorld
universal algebra from MathWorld universal algebra studies common properties of all algebraic structures, including groups, rings, fields, lattices, etc. A set of function symbols (or
http://rdre1.inktomi.com/click?u=http://mathworld.wolfram.com/UniversalAlgebra.h

14. Universal Algebra -- From MathWorld
universal algebra. universal algebra studies common properties of all algebraic structures, including groups, rings, fields, lattices, etc.
http://mathworld.wolfram.com/UniversalAlgebra.html
INDEX Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics ... Alphabetical Index
ABOUT THIS SITE About MathWorld About the Author
DESTINATIONS What's New MathWorld Headline News Random Entry ... Live 3D Graphics
CONTACT Email Comments Contribute! Sign the Guestbook
MATHWORLD - IN PRINT Order book from Amazon Algebra Named Algebras Miscellaneous Algebras ... General Logic
Universal Algebra This entry contributed by Alex Sakharov author's link Universal algebra studies common properties of all algebraic structures, including groups rings fields lattices , etc. A set of function symbols (or operations) of degree is called a signature (or type). Let be a signature. An algebra A is defined by a domain S (which is called its carrier or universe) and a mapping that relates a function to each n -place function symbol from Let and be two algebras over the same signature and their carriers are A and B , respectively. A mapping is called a homomorphism from to if for every and all
If a homomorphism is onto , then it is called epimorphism . If is an epimorphism , then B is called a homomorphic image of A . If the homomorphism is a bijection , then it is called an isomorphism . An isomorphism of two algebras is an equivalence relation A homomorphism from to is often denoted as A homomorphism is called an endomorphism . An isomorphism is called an automorphism . The notions of homomorphism, isomorphism, endomorphism, etc., are generalizations of the respective notions in

15. Mazzanti, Stefano
University of Udine Computability theory, semantics of programming languages, universal algebra.
http://www.dimi.uniud.it/~stefano/

16. Universal Algebra And Lattice Theory Bibliography
The University of Hawaii and Alan Day Memorial. universal algebra and Lattice Theory Bibliographic Database. Instructions.Start by
http://www.math.hawaii.edu/~ralph/Bib/
The University of Hawaii and Alan Day Memorial
Universal Algebra and Lattice Theory Bibliographic Database
Instructions. Start by entering the last name (capitalized correctly but accents omitted) of someone (perhaps yourself) in the Author field and leaving the other fields blank. Or enter one or two words in the Title field. After playing a little be sure to update your own entries. Detailed instructions Ways to use the database
History of the database
... Making corrections and additions to the database Output Format: BibTeX AmSTeX
Author:
Title:
Journal:
Year:
This page is changing frequently; you may need to press the reload button on your browser.
Modifying the Database
Last modified: 17 April 1996
Ralph Freese

ralph@math.hawaii.edu

17. LUATCS '99 Summer School Homepage
First Southern African Summer School and Workshop on Logic, universal algebra, and Theoretical Computer Science. Rand Afrikaans University, Johannesburg, South Africa; 110 December 1999.
http://atlas.math.vanderbilt.edu/~pjipsen/luatcs99/
US Mirror Second Announcement Third Announcement Travel and Accomodation L ogic,
U niversal
A lgebra,
T heoretical
C omputer
S cience L
UA
TCS
Prepare for the 21st century
FIRST SOUTHERN AFRICAN SUMMER SCHOOL AND WORKSHOP ON LOGIC,
UNIVERSAL ALGEBRA, AND
THEORETICAL COMPUTER SCIENCE (LUATCS'99) Rand Afrikaans University, Johannesburg, South Africa December 1-10, 1999 (Last change: 7 January 2000) ADVISORY BOARD: Samson Abramsky Hajnal Andreka Johan van Benthem (Chair), Chris Brink Robin Hirsch, Wilfrid Hodges, Bjarni Jonsson, Istvan Nemeti, Jeff Zucker Part 1: Introductory courses December 1-4 RAU-Island (Vaal Dam)

18. Universal Algebra Calculator
universal algebra Calculator. Quickly see it in action!! First download a small algebra file z3_2.alg ( you might want to do a "save link as" to get this). z3 is multiplicative part of the integers
http://www.math.hawaii.edu/~ralph/software/uaprog/quickdemo.html
Universal Algebra Calculator
Quickly see it in action!!
  • First download a small algebra file: z3_2.alg
    Start the calculator.
    From the Compute menu choose Congruence Lattice . When it asks for a file, give z2_3.alg.
    A new window will pop up. From that choose Compute and Label from the Lattice menu. The window will get bigger and have information about the congruence lattice.
    Choose Draw Lattice from the Graphics menu and click the improve button. The type 2 coverings are yellow and the type 5 are black . The two windows are tied together: clicking on an element or cover in the draw window changes the info window and vice versa.
  • Go to UA Calculator home for instructions on getting the program and using it.

    19. Universal Algebra And Lattice Theory
    Dedicated to the 70th Birthday of B©la Cs¡k¡ny. Szeged, Hungary; 2226 July 2002.
    http://www.math.u-szeged.hu/confer/algebra/2002/
    Conference on
    UNIVERSAL ALGEBRA AND LATTICE THEORY Szeged, July 2226, 2002
    Sponsors:
    Foundation for Szeged
    Hungarian Academy of Sciences
    Hungarian National Foundation for Scientific Research
    Ministry of Education
    Regional Committee of the Hungarian Academy of Sciences in Szeged email: algebra@server.math.u-szeged.hu ORGANIZERS INVITED SPEAKERS PROGRAM COMMITTEE ...

    Other conferences in general algebra and related fields
    Mathematical conference databases: Past conferences and workshops organized by algebraists from the Bolyai Institute University of Szeged Last modified August 1, 2002

    20. UNIVERSAL ALGEBRA AND LATTICE THEORY
    Conference on universal algebra AND LATTICE THEORY Dedicated to the 70th Birthday of Béla Csákány. Szeged, July 2226, 2002. Sponsors
    http://www.math.u-szeged.hu/confer/algebra/
    Conference on
    UNIVERSAL ALGEBRA AND LATTICE THEORY Szeged, July 2226, 2002
    Sponsors:
    Foundation for Szeged
    Hungarian Academy of Sciences
    Hungarian National Foundation for Scientific Research
    Ministry of Education
    Regional Committee of the Hungarian Academy of Sciences in Szeged email: algebra@server.math.u-szeged.hu ORGANIZERS INVITED SPEAKERS PROGRAM COMMITTEE ...

    Other conferences in general algebra and related fields
    Mathematical conference databases: Past conferences and workshops organized by algebraists from the Bolyai Institute University of Szeged Last modified August 1, 2002

    Page 1     1-20 of 95    1  | 2  | 3  | 4  | 5  | Next 20

    free hit counter