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Commutative ring
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291	FINITE-ORDER AUTOMORPHISMS OF A CERTAIN TORUS BRIAN CONRAD 1. Introduction A classical result of Higman [H], [S, Exer. 6.3], asserts that the roots of unity in the group ring Z[Γ] of a finite commutative group Γ are th Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2004-08-10 16:47:17 Cyclic group Sheaf Filter Abelian group Abstract algebra Algebra Algebraic topology
292	GRADED RINGS AND MODULES Tom Marley Throughout these notes, all rings are assumed to be commutative with identity. §1. Definitions and examples Add to Reading List Source URL: www.math.unl.edu Language: English - Date: 2001-02-02 11:06:19 Commutative algebra Ring theory Algebraic structures Homological algebra Graded algebra Module Noetherian ring Lasker–Noether theorem Ideal Abstract algebra Algebra Module theory
293	A THEOREM OF GRUSON BRIAN JOHNSON 1. Gruson’s Theorem This is based on a proof of the result given in [4]. Let A be a commutative ring, M a finitely generated A-module, and Add to Reading List Source URL: www.math.unl.edu Language: English - Date: 2009-08-11 16:19:46 Commutative algebra Homological algebra Projective module Representation theory Finitely-generated module Nakayama lemma Abstract algebra Algebra Module theory
294	GORENSTEIN RINGS AND IRREDUCIBLE PARAMETER IDEALS THOMAS MARLEY, MARK W. ROGERS, AND HIDETO SAKURAI Dedicated to Professor Shiro Goto on the occasion of his sixtieth birthday Abstract. Given a Noetherian local ring (R, m Add to Reading List Source URL: www.math.unl.edu Language: English - Date: 2006-09-27 11:27:30 Ring theory Algebraic structures Module theory Algebraic geometry Gorenstein ring Cohen–Macaulay ring Depth Regular sequence Module Abstract algebra Algebra Commutative algebra
295	Index Cofactor of a matrix, 62 Comaximal ideals, 108, 120 Commutative ring, 37 Complex numbers, 1, 40, 46, 47, 97, 104 Conjugate, 64 Add to Reading List Source URL: www.math.miami.edu Language: English - Date: 2004-03-18 17:56:57 Algebraic structures Commutative algebra Module theory Homological algebra Ring Module Commutative ring Polynomial ring Ideal Abstract algebra Algebra Ring theory
296	ON ASSOCIATED GRADED RINGS OF NORMAL IDEALS Sam Huckaba and Thomas Marley 1. Introduction This paper was inspired by a theorem concerning the depths of associated graded rings Add to Reading List Source URL: www.math.unl.edu Language: English - Date: 2001-01-19 11:20:48 Proj construction Cohen–Macaulay ring Integrally closed domain Gorenstein ring Depth Integral element Hilbert series and Hilbert polynomial Noetherian ring Height Abstract algebra Algebra Commutative algebra
297	THE AUSLANDER-BRIDGER FORMULA AND THE GORENSTEIN PROPERTY FOR COHERENT RINGS LIVIA HUMMEL AND THOMAS MARLEY Abstract. The concept of Gorenstein dimension, defined by Auslander and Bridger for finitely generated modules o Add to Reading List Source URL: www.math.unl.edu Language: English - Date: 2009-02-25 18:09:33 Ring theory Commutative algebra Homological algebra Finitely-generated module Projective module Depth Flat module Local ring Commutative ring Abstract algebra Algebra Module theory
298	CHAPTER II THE GROTHENDIECK GROUP K0 There are several ways to construct the “Grothendieck group” of a mathematical object. We begin with the group completion version, because it has been the most Add to Reading List Source URL: www.math.rutgers.edu Language: English - Date: 2012-09-20 13:51:22 Ring theory Module theory Homological algebra Commutative algebra Grothendieck group Monoid Projective module Module Torsion Abstract algebra Algebra Algebraic structures
299	CHAPTER I PROJECTIVE MODULES AND VECTOR BUNDLES The basic objects studied in algebraic K-theory are projective modules over a ring, and vector bundles over schemes. In this first chapter we introduce the cast Add to Reading List Source URL: www.math.rutgers.edu Language: English - Date: 2012-09-01 14:36:13 Ring theory Homological algebra Algebraic structures Commutative algebra Projective module Structure theorem for finitely generated modules over a principal ideal domain Module Commutative ring Torsion Abstract algebra Algebra Module theory
300	Cohen-Macaulay dimension for coherent rings Add to Reading List Source URL: www.math.unl.edu Language: English - Date: 2014-04-24 12:04:13 Ring theory Cohen–Macaulay ring Commutative ring Noetherian ring Coherent ring Gorenstein ring Krull dimension Ring Regular ring Abstract algebra Algebra Commutative algebra

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