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Commutative algebra
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511	Workshop on group schemes and p-divisible groups: Homework[removed]i) Using the structure theorem and Frobenius morphisms, prove that a finite group scheme over a field is killed by its order. (Exer. 3(ii) in HW1 gives a Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2005-05-26 17:44:58 Group scheme Barsotti–Tate group Étale morphism Spectrum of a ring Flat topology Frobenius endomorphism Flat module Grothendieck topology Commutative ring Abstract algebra Algebra Algebraic geometry
512	THE ASSOCIATED PRIMES OF LOCAL COHOMOLOGY MODULES OVER RINGS OF SMALL DIMENSION Thomas Marley† Abstract. Let R be a commutative Noetherian local ring of dimension d, I an ideal of R, and M a finitely generated R-module Add to Reading List Source URL: www.math.unl.edu Language: English - Date: 2001-01-19 11:20:48 Commutative algebra Ring theory Homological algebra Algebraic structures Depth Finitely-generated module Associated prime Noetherian ring Krull dimension Abstract algebra Algebra Module theory
513	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
514	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
515	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
516	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
517	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
518	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
519	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
520 $Linear algebra / Semigroup theory / Matrix theory / Rauzy fractal / Monoid / Matrix / Integer matrix / Determinant / Unimodular / Algebra / Mathematics / Matrices$	GEOMETRIC MODELS OF PISOT SUBSTITUTIONS AND NON-COMMUTATIVE ARITHMETIC Pierre Arnoux Unimodular Substitutions on 2 letters. Conjecture: the dynamical system Add to Reading List Source URL: www.math.iupui.edu Language: English - Date: 2002-01-16 20:28:23 Linear algebra Semigroup theory Matrix theory Rauzy fractal Monoid Matrix Integer matrix Determinant Unimodular Algebra Mathematics Matrices

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