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Finitely-generated module
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61	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
62	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
63	1 8. QUOTIENT DIVISIBLE MODULES Add to Reading List Source URL: www.math.hawaii.edu Language: English - Date: 2001-04-07 05:40:05 Homological algebra Divisible group Torsion Projective module Module Dedekind domain Group action Injective module Structure theorem for finitely generated modules over a principal ideal domain Abstract algebra Algebra Module theory
64	1 1. FUNDAMENTALS E. L. Lady May 14, 1998 Add to Reading List Source URL: www.math.hawaii.edu Language: English - Date: 2001-04-07 05:40:29 Homological algebra Commutative algebra Algebraic number theory Torsion Divisible group Abelian group Finitely-generated module Dedekind domain Essential extension Abstract algebra Algebra Module theory
65	1 2. RANK ONE MODULES AND TYPES Add to Reading List Source URL: www.math.hawaii.edu Language: English - Date: 2001-04-07 05:40:24 Finitely-generated module Subring Ideal Torsion Divisible group Structure theorem for finitely generated modules over a principal ideal domain Abstract algebra Algebra Module theory
66	1 0. MODULES OVER COMMUTATIVE RINGS Add to Reading List Source URL: www.math.hawaii.edu Language: English - Date: 2001-04-07 05:40:34 Commutative algebra Ring theory Algebraic structures Ideals Associated prime Finitely-generated module Torsion Dedekind domain Lasker–Noether theorem Abstract algebra Algebra Module theory
67	Foundations of Module and Ring Theory A Handbook for Study and Research Add to Reading List Source URL: www.math.uni-duesseldorf.de Language: English - Date: 2007-08-31 13:40:17 Injective module Module Projective module Flat module Finitely-generated module Semisimple module Serial module Projective cover Simple module Abstract algebra Algebra Module theory
68	STABLY FREE MODULES KEITH CONRAD Add to Reading List Source URL: www.math.uconn.edu Language: English - Date: 2013-02-01 21:12:39 Module theory Homological algebra Linear algebra Algebraic structures Algebraic geometry Stably free module Projective module Finitely-generated module Module Abstract algebra Algebra Mathematics
69	J.A.Beachy 0.3 Add to Reading List Source URL: www.math.niu.edu Language: English - Date: 2000-08-08 17:43:15 Module theory Abelian group Simple module Cyclic group Module Krull–Schmidt theorem Structure theorem for finitely generated modules over a principal ideal domain Finitely-generated module Simple group Abstract algebra Group theory Algebra
70	Classification of Finitely Generated Abelian Groups The proof given below uses vector space techniques (Smith Normal Form) and generalizes from abelian groups to “modules over PIDs” (essentially generalized vector spaces). Smith Normal Form is a reduced form similar to the row reduced matrices encountered in Add to Reading List Source URL: www.cs.uleth.ca Language: English - Date: 2000-11-03 01:05:21 Algebraic structures Geometric group theory Finitely-generated abelian group Abelian group Generating set of a group Group Finitely-generated module Free abelian group Abstract algebra Algebra Group theory

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