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Projective module
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51	C. Khare and D. Prasad Nagoya Math. J. Vol[removed]), 1–15 ON THE STEINITZ MODULE AND CAPITULATION OF IDEALS Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2006-11-07 20:45:17 Hilbert class field Algebraic number field Ideal class group Dedekind domain Class field theory Principal ideal Vector bundle Projective module Ideal Abstract algebra Algebra Algebraic number theory
52	NOTES ON CHAIN COMPLEXES ANDREW BAKER These notes are intended as a very basic introduction to (co)chain complexes and their algebra, the intention being to point the beginner at some of the main ideas which should be fu Add to Reading List Source URL: www.maths.gla.ac.uk Language: English - Date: 2009-04-06 06:57:56 Projective module Homology Spectral sequence Chain complex Exact sequence Module Group homomorphism Resolution Group cohomology Abstract algebra Homological algebra Algebra
53	Geometry 9: Serre-Swan theorem Misha Verbitsky Geometry 9: Serre-Swan theorem Rules: You may choose to solve only “hard” exercises (marked with !, * and ) or “ordinary” ones (marked with Add to Reading List Source URL: verbit.ru Language: English - Date: 2013-04-15 14:21:00** Algebraic topology Differential topology Vector bundles Vectors Algebraic geometry Sheaf Serre–Swan theorem Ample line bundle Projective module Abstract algebra Algebra Topology
54	PROGRAMMING-IN-THE LARGE VERSUS PROGRAMMING-IN-THE-SMALL Frank DeRemer Hans Kron University of California, Santa Cruz Add to Reading List Source URL: www.genesishistory.org Language: English - Date: 2007-12-16 20:01:36 Procedural programming languages ALGOL 68 D-module Module Flat module Projective module Abstract algebra Mathematics Mathematical analysis
55	KRULL-REMAK-SCHMIDT CATEGORIES AND PROJECTIVE COVERS HENNING KRAUSE 1. Additive categories and the radical 1.1. Products and coproducts. Let A be a category. A product of a family Add to Reading List Source URL: www.math.uni-bielefeld.de Language: English - Date: 2012-05-21 19:50:48 Homological algebra Additive categories Module theory Algebraic topology Initial and terminal objects Abelian category Projective cover Sheaf Epimorphism Abstract algebra Category theory Algebra
56	THESIS FOR THE DEGREE OF DOCTOR OF PHILOSOPHY On the Picard Group of Integer Group Rings OLA HELENIUS Add to Reading List Source URL: www.math.chalmers.se Language: English - Date: 2009-05-13 01:43:49 Homological algebra Algebraic geometry Module theory Commutative algebra Algebraic K-theory Projective module Picard group Abelian group Dedekind domain Abstract algebra Algebra Ring theory
57	Math 918: The Homological Conjectures Spring Semester 2009 This document contains notes for a course taught by Tom Marley during the 2009 spring semester at the University of Nebraska-Lincoln. The notes loosely follow th Add to Reading List Source URL: www.math.unl.edu Language: English - Date: 2009-08-05 16:24:10 Commutative algebra Homological algebra Homological conjectures in commutative algebra Finitely-generated module Projective module Torsion Depth Module Associated prime Abstract algebra Algebra Module theory
58	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
59	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
60	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

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