Selected Sites   (see also All Sites in this category)

Commutative Rings and Algebras - Dave Rusin; The Mathematical Atlas A short article designed to provide an introduction to ring theory. Commutative rings are sets like the set of integers, allowing addition and (commutative) multiplication. Of particular interest are several classes of rings of interest in number theory, field theory, and related areas; however, other classes of rings arise, and a rich structure theory arises to analyze commutative rings in general, using the concepts of ideals, localizations, and homological algebra. History; applications and related fields and subfields; textbooks, reference works, and tutorials; software and tables; other web sites with this focus. (See also Associative rings and algebras.) more>>

All Sites - 14 items found, showing 1 to 14

Abstract Algebra On-Line: Structure of Noncommutative Rings - John A. Beachy; Dept. of Mathematical Sciences, Northern Illinois Univ. Excerpted from Abstract Algebra II, 1996, by John Beachy: Prime and primitive ideals; The Jacobson radical; Semisimple Artinian rings. ...more>> Applied Algebra Group - Dept. of Mathematics, Johannes Kepler Universität Linz, Austria. This group has formed around Prof. Günter Pilz. One of its main research interests lies in near-rings: generalised rings that might generally be described as rings (N,+,*) where the addition is not necessarily abelian and only one distributive law ...more>> arXiv.org e-Print archive - Los Alamos National Laboratory (LANL) A major site for mathematics preprints that has incorporated many formerly independent specialist archives including alg-geom, funct-an, dg-ga, q-alg, auto-fms, cd-hg, MAGNUS, Several Complex Variables, Logic E-prints, Commutative Algebra, Dynamical Systems, ...more>> Basic Books on Rings and Modules - E. Lee Lady, University of Hawaii An annotated list (about 15 books) in the following categories: General Theory of Rings and Modules; Classical Theory of Artinian Rings; and Commutative Rings. ...more>> CLIFFORD: A Maple V (Rel. 5.1) Package for Clifford Algebra Computations - Rafal Ablamowicz For PCs. Also available is a version compatible with Maple V R.3 and R.4. Freely available for personal use only. ...more>> Computer Lab Courseware - University of Toronto Courseware to help in the teaching of various mathematical concepts. Most is made up of Mathematica notebooks and packages, but some consists of C programs written to run under X-Windows. A lab manual in TeX beginning with an introduction to UNIX and ...more>> Finite Rank Torsion Free Modules Over Dedekind Domains - E. Lee Lady; University of Hawaii A book that discusses abelian group theory as not just another variety of group theory but the study of modules over principal ideal domains, a highly specialized branch of commutative ring theory. Postscript and DVI versions. Chapters: Modules Over Commutative ...more>> Front for the Mathematics ArXiv - Univ. of California, Davis U.C. Davis front end for the xxx.lanl.gov e-Print archive, a major site for mathematics preprints that has incorporated many formerly independent specialist archives including alg-geom, funct-an, dg-ga, q-alg, auto-fms, cd-hg, MAGNUS, Several Complex ...more>> Near-Rings (Catalogue of Algebraic Systems) - Boykett, Pedersen, W. Edwin Clark; Dept. of Mathematics, University of South Florida Definition, examples, representation, a finite spectrum, importance, references, and subsystems of near-rings. Links to related terms in the Catalogue. ...more>> Online Gröbner Basis Calculations - Michael McGettrick, National University of Ireland Enter generating polynomials for the ideal I to calculate its Gröbner basis, minimal Gröbner basis, or reduced Gröbner basis, which can be used for finding the solution to simultaneous polynomial equations and for determining the existence ...more>> Rings (Catalogue of Algebraic Systems) - John Pedersen, W. Edwin Clark; Dept. of Mathematics, University of South Florida Definition, examples, and decision problems about rings are provided. ...more>> Rings with Identity (Catalogue of Algebraic Systems) - John Pedersen, W. Edwin Clark; Dept. of Mathematics, University of South Florida Definition, examples, and decision problems about Rings with Identity, Rings with 1, and Unital Rings. ...more>> The Valuation Theory Home Page - Franz-Viktor Kuhlmann A forum for all mathematicians who work in valuation theory or apply valuation theoretical results in their own field of research. The home page offers: information about conferences and special events; names and email addresses of mathematicians working ...more>> Virtual Algebra Center - City College, CUNY The home of the World Wide Algebra project. This international megaproject has several principal parts, including Algebraic Cryptography, The World of Groups, and The World of Polynomials. These include lists of open problems, conferences and seminars, ...more>>

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