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Homological algebra
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651	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
652	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
653	A THEOREM OF HOCHSTER AND HUNEKE CONCERNING TIGHT CLOSURE AND HILBERT-KUNZ MULTIPLICITY LORI MCDONNELL Abstract. We provide a (mostly) self-contained treatment of Hochster and Huneke’s theorem characterizing Hilbert-Ku Add to Reading List Source URL: www.math.unl.edu Language: English - Date: 2009-07-31 13:13:14 Commutative algebra Module theory Algebras Torsion Separable algebra Finite field Integral element Field extension Field Abstract algebra Field theory Homological algebra
654	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
655	Sheaf Cohomology In this note we give the background needed to de…ne sheaf cohomology. In particular, we prove the following two facts. First, the category Ab(X) of sheaves on a topological space X has enough injectiv Add to Reading List Source URL: sierra.nmsu.edu Language: English - Date: 2004-08-10 18:12:14 Topology Homological algebra Algebraic geometry Functors Algebraic topology Sheaf Gluing axiom Stalk Direct image functor Abstract algebra Category theory Sheaf theory
656	Advanced Training in Mathematics Schools Funded by National Board for Higher Mathematics Annual Foundation Schools (AFS) Objectives of AFS Add to Reading List Source URL: www.math.iitb.ac.in Language: English - Date: 2006-07-15 09:12:52 Algebraic topology Fundamental theorem Areas of mathematics Homological algebra Algebraic geometry Manifold CW complex Real analysis Field Mathematics Abstract algebra Topology
657	Workshop on group schemes and p-divisible groups: Homework[removed]Let K be the fraction field of a complete discrete valuation ring with mixed characteristic (0, p) and perfect residue field. Let K/K be an algebraic closu Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2005-05-26 17:43:21 Niels Henrik Abel Module theory Algebraic groups Abelian variety Abelian group Tate module Elliptic curve Étale cohomology Torsion Abstract algebra Algebra Homological algebra
658	THE FROBENIUS FUNCTOR AND INJECTIVE MODULES THOMAS MARLEY Abstract. We investigate commutative Noetherian rings of prime characteristic such that the Frobenius functor applied to any injective module is again injective. Add to Reading List Source URL: www.math.unl.edu Language: English - Date: 2012-07-08 14:13:56 Homological algebra Commutative algebra Injective module Flat module Module Completion Artinian module Exact functor Associated prime Abstract algebra Algebra Module theory
659	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
660	CHAPTER VI THE HIGHER K-THEORY OF FIELDS The problem of computing the higher K-groups of fields has a rich history, beginning with Quillen’s calculation for finite fields (IV.1.13), and Borel’s calculation of K∗ ( Add to Reading List Source URL: www.math.rutgers.edu Language: English - Date: 2012-09-18 17:11:54 Algebraic number theory Galois theory Homological algebra Module theory Abelian group Algebraic number field Finite field Torsion Divisible group Abstract algebra Algebra Field theory

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