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         Commutative Algebra:     more books (100)
  1. Algorithmic Methods in Non-Commutative Algebra: Applications to Quantum Groups (Mathematical Modelling: Theory and Applications) by J.L. Bueso, José Gómez-Torrecillas, et all 2003-07-31
  2. The Geometry of Syzygies: A Second Course in Algebraic Geometry and Commutative Algebra (Graduate Texts in Mathematics) by David Eisenbud, 2005-02-01
  3. Graduate Algebra: Commutative View by Louis Halle Rowen, 2006-07-26
  4. Geometric and Combinatorial Aspects of Commutative Algebra (Lecture Notes in Pure and Applied Mathematics)
  5. Three Lectures on Commutative Algebra (University Lecture Series) by Holger Brenner, Jurgen Herzog, et all 2008-03-21
  6. Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra (Undergraduate Texts in Mathematics) by David Cox, John Little, et all 2007-02-14
  7. Commutative Algebra by Oscar Zariski, Pierre Samuel, 1991-02
  8. Separable Algebras over Commutative Rings (Lecture Notes in Mathematics) by Frank De Meyer, Edward Ingraham, 1971-03-29
  9. Local Algebra (Springer Monographs in Mathematics) by Jean-Pierre Serre, 2000-07-26
  10. Gröbner Bases: A Computational Approach to Commutative Algebra (Graduate Texts in Mathematics) by Thomas Becker, Volker Weispfenning, 1998-03-23
  11. Algebraic Statistics: Computational Commutative Algebra in Statistics (Monographs on Statistics and Applied Probability) by Giovanni Pistone, Eva Riccomagno, et all 2000-12-21
  12. An Introduction To Commutative Algebra: From The Viewpoint Of Normalization by Li HUISHI, 2004-11-30
  13. Ideal Theoretic Methods in Commutative Algebra (Lecture Notes in Pure and Applied Mathematics)
  14. Fuzzy Commutative Algebra (Pure Mathematics) by John N. Mordeson, D. S. Malik, 1998-12

21. MATHEMATICS Combinatorial Mathematics Combinatorial Topology
MATHEMATICS algebra algebraic geometry analysis analytic geometry arithmetic associative combinatorial topology commutative algebra complex or double algebra denumerative geometry

22. Book: "A
Book A SINGULAR Introduction to commutative algebra . This book has been written to learn commutative algebra in a new style, taking
SINGULAR Introduction to Commutative Algebra"
Version 2.0
Registration Manual Overview ... Impressum
Book: "A S INGULAR Introduction to Commutative Algebra"
This book has been written to learn commutative algebra in a new style, taking into account modern developments such as algorithmic and computational aspects. As soon as a new concept is introduced, it is shown how to handle it by computer. The computations are exemplified with the computer algebra system S INGULAR , which was developed by the authors. S INGULAR is a special system for polynomial computation with many features for global as well as for local commutative algebra and algebraic geometry. The book can be used for courses, seminars and as a basis for studying research papers in commutative algebra, computer algebra and algebraic geometry. The text starts with the theory of rings and modules and standard bases with emphasis on local rings and localization. It is followed by the central concepts of commutative algebra such as integral closure, dimension theory, primary decomposition, Hilbert function, completion, flatness and homological algebra. An appendix is devoted to algebraic geometry to show how geometric problems can be understood using commutative algebra. The book includes a CD with a distribution of S INGULAR for various platforms (Unix/Linux, Windows, Macintosh) and which contains all examples and procedures explained in the text.

23. Dr Chris F. Woodcock
University of Kent at Canterbury. commutative algebra, algebraic geometry and algebraic number theory; padic analogues of classical functions and their applications in number theory.
Home Research Teaching People ... Contacts
Dr Chris F. Woodcock
Senior Lecturer in Pure Mathematics
Pure Mathematics Group
Publications Personal Page Room Telephone
external +44 1227
For a valid email address add
Interests: Commutative algebra, algebraic geometry and algebraic number theory; p-adic analogues of classical functions and their applications in number theory.
Institute of Mathematics, Statistics and Actuarial Science
Contact the IMSWebmaster
Last Updated: 6 January, 2004 10:54
Web Address: document.write(document.URL);

24. Sundry Algebraic Geometry And Commutative Algebra Sites
Sundry Algebraic Geometry and commutative algebra Sites A list of links to personal home pages of mathematicians working in algebraic geometry. B. Harbourne

25. Singular 2-0-4 Manual: Commutative Algebra
D.4 commutative algebra. D.4.1 algebra_lib, procedures for computing with algebras and maps. D.4.2 elim_lib, procedures for elimination, saturation and blowing up.
D.4 Commutative algebra
D.4.1 algebra_lib procedures for computing with algebras and maps D.4.2 elim_lib procedures for elimination, saturation and blowing up D.4.3 homolog_lib procedures for homological algebra D.4.4 mprimdec_lib procedures for primary decomposition of modules D.4.5 mregular_lib procedures for Castelnuovo-Mumford regularity D.4.6 normal_lib procedure for normalization D.4.7 primdec_lib procedures for primary decomposition D.4.8 primitiv_lib procedures for finding a primitive element D.4.9 reesclos_lib Rees Algebra and integral closure of an ideal D.4.10 intprog_lib Integer Programming D.4.11 toric_lib toric ideals User manual for Singular version 2-0-4, May 2003, generated by

26. AGAT-2
Algebraic Geometry, commutative algebra and Topology. Mamaia, Constantza, Romania; 2226 September 2002.

27. Commutative Algebra And The Cohomology Of Groups, I
commutative algebra and the Cohomology of Groups, I Speaker Dave J. Benson Date September 2002

28. Computational Commutative Algebra
MSRI, Berkeley, CA, USA; 1315 March 2003.
Computational Commutative Algebra
March 13, 2003 to March 15, 2003
Organized by: Serkan Hosten, Craig Huneke, Bernd Sturmfels (chair), and Irena Swanson This workshop is about computational commutative algebra understood in a broad sense, including both theory and its practice in fields related to commutative algebra, such as combinatorics, algebraic geometry, group theory and their applications. It will include talks by Gert-Martin Greuel, Lorenzo Robbiano, and Michael Stillman, followed by a panel discussion on software for commutative algebra. The rest of the workshop will be in standard format, with invited lectures and time for discussions and computer explorations.
Invited speakers include:
Paulo Aluffi
Matthias Aschenbrenner
Jon Carlson
Juergen Herzog
Gabriela Jeronimo
Gregor Kemper
Vic Reiner
Hal Schenck Josef Schicho Rekha Thomas Additional Information: Computational Commutative Algebra Schedule Parent Program: Commutative Algebra Lectures on Streaming Video: This event is now over. Resources from this event, including streaming video , may be available.

29. Centennial Celebration Of Commutative Algebra
Friday, April 28 Saturday, April 29. view pictures from the conference The conference will consist of eight 50-minute plenary

Abstracts Lecturers Lodging ... UNL
Friday, April 28 - Saturday, April 29
view pictures from the conference... The conference will consist of eight 50-minute plenary lectures and some shorter talks. Also, on Thursday afternoon, April 27, 2000, Melvin Hochster will deliver a very general mathematical lecture (the fourth annual Howard Rowlee Lecture ) at the University of Nebraska. The plenary lecturers are (listed alphabetically): Luchezar Avramov , Purdue University Dale Cutkosky , University of Missouri Mel Hochster , University of Michigan Craig Huneke , University of Kansas Paul Roberts , University of Utah Christel Rotthaus , Michigan State University Hema Srinivasan , University of Missouri Irena Swanson , New Mexico State University We welcome all interested people to attend the conference. We expect to have several 20-minute talks on both days. Ample time will be set aside for informal mathematical interaction. We will extend the conference through Sunday noon if necessary, but at this point we expect to end by Saturday evening. (A decision will be made by the end of March.) Please let us know as soon as possible (preferably by March 22) whether you are likely to attend the conference and whether you are interested in giving a talk. We do not anticipate having funding for participant support, except for local amenities such as continental breakfasts and snacks and perhaps lodging for some graduate students and younger faculty.

30. Catania 2002
Workshop on Applications of commutative algebra. Catania 36 April 2002. Dear Friends, We are pleased to announce that an international
Workshop on
Applications of Commutative Algebra
3-6 April 2002
Dear Friends, We are pleased to announce that an international workshop will take place this coming April at the Department of Mathematics in Catania MapQuest
  • Computer Algebra Systems
  • Numeric-symbolic computations
  • Vision, modelling, CAD-CAM
  • Other applications (cryptography, error correcting codes, integer programming, statistics, D-modules)
Scientific Committee
  • (Catania, Italy)
  • Lorenzo Robbiano (Genova, Italy)
  • Carlo Traverso (Pisa, Italy)
Local Organizers
  • Valentina Marotta
  • Rosario Strano
There is space for a limited number of short communications and a poster session and we would like to encourage potential speakers to submit abstracts for consideration. (A 1/2 to 1 page abstract would be ideal.) These may be submitted by e-mail to the scientific committee
Schedule and Abtracts catania02.abs.dvi
There will be a registration fee of 60 EUR . The banquet (Thursday, h 20:30) will cost 25 EUR . The fee and banquet cost are payable the first day of the conference and payment can be accepted only in cash. The registration cost covers: coffee breaks, lunches, bus to and from the hotels.

31. Utrecht Meeting June 2004
A COW/EAGER meeting. Utrecht, Netherlands; 46 June 2004.
Algebraic geometry and commutative algebra, Utrecht , Friday to Sunday 4-6 June 2004 Confirmed participants: Ingrid Bauer, Hans-Christian v. Bothmer, Gavin Brown, Fabrizio Catanese, Martijn Grooten, Remke Kloosterman, Stavros Papadakis, Rita Pardini, Miles Reid, Gregory Sankaran, Joseph Steenbrink, Orsola Tommasi, Fabio Tonoli, as well as locals Eduard Looijenga, Jan Stienstra, Balazs Szendroi and others All talks are in the Mathematics Department (Wiskundegebouw) in the basement in room K11. Program
  • Friday 4 June
    • 3.15-4.15 Stavros Papadakis (Saarbrucken): Type II unprojection
    • 4.30-5.30 Fabio Tonoli (Bayreuth): Codimension 3 Gorenstein projective schemes and even sets of nodes: structure theorems and applications
  • Saturday 5 June
    • 9.15-10.15 Hans-Christian Graf v. Bothmer (Hannover): Geometric syzygies and rank 2 vectorbundles on curves
    • 10.30-11.30 Roberto Pignatelli (Trento): On a question of Horikawa
    • 11.45-12.45 Ingrid Bauer (Bayreuth): Explicit deformations of surfaces with K^2 = 7 and p_g =4
    • 2.45-3.45 Fabrizio Catanese (Bayreuth): Braid monodromy and Dehn monodromy of bidouble covers, symplectic and differentiable structures on algebraic surfaces
    • 4-5 Miles Reid (Warwick): Constructing varieties via commutative algebra
  • Sunday 6 June
    • Informal discussions
  • Note also that Miles Reid gives the departmental colloquium on Thursday 3 June at 3.30

32. Computational Commutative Algebra I
Computational commutative algebra 1.
Computational Commutative Algebra 1
Martin Kreuzer and Lorenzo Robbiano
Springer Verlag, Heidelberg 2000
Fields : Symbolic Computation, Computer Algebra; Computational Mathematics and Scientific Computing; Algebra Keywords : Groebner Bases, Commutative Algebra, Computer Algebra, CoCoA , Polynomial Systems.
Reviews and comments
Table of Contents (pdf-file)
A picture of the authors
Errors and misprints (pdf-file) (ps-file)
The palindrome (close up)

33. Commutative Algebra Authors/titles Recent Submissions
commutative algebra. Authors and titles for recent submissions. Math. Soc Subjclass commutative algebra; Algebraic Geometry MSC-class 14M05; 13A30; 13H10
Commutative Algebra
Authors and titles for recent submissions
  • Fri, 4 Jun 2004 Fri, 28 May 2004 Thu, 27 May 2004 Tue, 25 May 2004 ... Mon, 24 May 2004
  • Fri, 4 Jun 2004
    math.AC/0406057 abs ps pdf other
    Title: Gorenstein projective dimension for complexes
    Authors: Oana Veliche
    Comments: Accepted for publication in Transactions AMS, submitted October 8, 2003
    Subj-class: Commutative Algebra; Rings and Algebras
    Fri, 28 May 2004
    math.AT/0405525 abs ps pdf other
    Andrew Baker Birgit Richter
    Comments: 6 pages
    Subj-class: Algebraic Topology; Commutative Algebra
    math.AC/0405526 abs ps pdf other
    Title: Semi-dualizing modules and related Gorenstein homological dimensions
    Authors: Henrik Holm Peter Jorgensen
    Comments: 25 pages Subj-class: Commutative Algebra MSC-class:
    math.AC/0405523 abs ps pdf other
    Title: Cohen-Macaulay injective, projective, and flat dimension Authors: Henrik Holm Peter Jorgensen Comments: 18 pages Subj-class: Commutative Algebra MSC-class:
    Thu, 27 May 2004
    math.CV/0405491 abs ps pdf other
    Title: La trace via le calcul residuel: une nouvelle version du theoreme d'Abel-inverse, formes abeliennes Authors: Martin Weimann Comments: 33 pages Subj-class: Complex Variables; Commutative Algebra

    34. CoCoA System
    A specialpurpose system for computations in commutative algebra.
    CoCoA System
    Co mputations in Co mmutative A lgebra
    What is CoCoA?
    [Work in progress]
    Download CoCoA 4.3

    Installation instructions
    CoCoA manual
  • GUI help
  • help.pdf [soon]
  • and more help... CoCoA packages
    news, updates and bug fixes
    The CoCoA Team Research Team in ... Genova
    and publications GUI and WinCoCoA page (Regensburg)
  • Past and present
  • Present and future: CoCoALib C++ Library CoCoA users
  • Papers books and courses
  • CoCoA Tutorials
  • Kreuzer-Robbiano book: Computational Commutative Algebra 1 UPDATED:
    How to cite CoCoA Send bug reports, questions, and suggestions to cocoa at
    ICTP Home Page, Help, School on commutative algebra and Interactions with Algebraic Geometry and Combinatorics. Starts on 24 May 2004 at 0830.

    36. Macaulay
    Macaulay is a computer algebra system for mathematical computations in algebraic geometry and commutative algebra. At its core is a carefully tuned implementation of Grobner basis methods for manipulating systems of polynomial equations.

    37. Lisbon Conference On Commutative Algebra
    Translate this page
    No Frames...
    If you need information concerning the Conference use the e-mail below. Sep 15 2002

    38. Singular:Home
    Computer Algebra System for polynomial computations with special emphasis on commutative algebra, algebraic geometry, and singularity theory.
    A Computer Algebra System for Polynomial Computations
    Welcome to S INGULAR
  • May 2004: Release of SINGULAR version 2.0.5 , a minor upgrade from version 2.0.4 (Groebnerwalk, Janet basis, bug fixes and compatibitlity changes for gcc 3.2/3.3) is available for most Unix platforms (including Mac PPC Darwin) and Windows August 2002 : Textbook "A S INGULAR Introduction to Commutative Algebra" ... Springer Verlag . The book includes a CD containing a distribution of S INGULAR version 2-0-3 (for Unix/Windows/Mac platforms). S INGULAR is free software under GNU Public Licence . For registered S INGULAR users we offer the following free services
    • e-mail information about updates and news
    • support for installation and computational questions.
    Register as S INGULAR user Use any of the following links to find out more about S INGULAR

    S INGULAR ...

    is developed by the S INGULAR research group which is part of the Algebraic Geometry Group at the Department of Mathematics of the University of Kaiserslautern under the direction of Gert-Martin Greuel Gerhard Pfister , and Comments or suggestions? Send mail to
  • 39. Lisbon Conference On Commutative Algebra
    Translate this page
    No Frames...
    If you need information concerning the Conference use the e-mail below. Sep 15 2002

    40. Commutative Algebra And Geometry
    Institute, with the participation of, with the particpation of MITACS. commutative algebra and Geometry. March 29 April 03, 2003. Organizers
    with the participation of
    Commutative Algebra and Geometry
    March 29 - April 03, 2003
    Organizers: Mark Green (IPAM, UCLA), Jurgen Herzog (Univ-Gesamthochschule-Essen), Bernd Sturmfels (UC Berkeley)
    We are proposing a one-week regular conference (40 participants) on commutative algebra, with an emphasis on interactions with algebraic geometry, polyhedral geometry and combinatorics. This conference would be held in the Spring of 2003 and is part of the Special Program 2002/03 on Commutative Algebra at MSRI Berkeley. It is our intention to invite younger researchers and to also include first-rate mathematicians who work not in commutative algebra proper but in nearby fields. Specifically, we shall invite several leading algebraic geometers. In selecting lectures we will place a particular emphasis on recent developments, applications and future directions. The following is a sample of topics to be discussed in this workshop: toric rings and varieties, Koszul algebras, toric K-theory, exterior algebra methods, arrangements of linear subspaces, Flag varieties and Schubert varieties, Grobner bases, sagbi bases, zero-dimensional schemes, elimination theory, Hilbert schemes, singularities, invariant theory. All of these topics are highly relevant for applications of commutative algebra, both within mathematics and outside of mathematics. To give a concrete example for the usefulness of Commutative Algebra as scientific tool, we wish to mention the recent interaction with Statistics. An introduction to this can be found in the book Giovanni Pistone, Eva Riccomagno and Henry Wynn: Algebraic Statistics: Computational Commutative Algebra in Statistics, Chapman and Hall, Boca Raton, London, 2001, ISBN: 1-58488-204-2 The proposed workshop at Banff deals with fundamental problems whose solutions will benefit practical applications such as those in "Algebraic Statistics".

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