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Noetherian ring
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51	NON-NOETHERIAN COHEN-MACAULAY RINGS TRACY DAWN HAMILTON AND THOMAS MARLEY Abstract. In this paper we investigate a property for commutative rings with identity which is possessed by every coherent regular ring and is equ Add to Reading List Source URL: www.math.unl.edu Language: English - Date: 2006-09-22 14:48:59 Ring theory Module theory Homological algebra Algebraic structures Depth Noetherian ring Local ring Cohen–Macaulay ring Associated prime Abstract algebra Algebra Commutative algebra
52	ON THE SUPPORT OF LOCAL COHOMOLOGY CRAIG HUNEKE, DANIEL KATZ, AND THOMAS MARLEY Dedicated to Professor Paul Roberts on the occasion of his sixtieth birthday. Abstract. We examine the question of whether the support of an Add to Reading List Source URL: www.math.unl.edu Language: English - Date: 2007-11-27 14:20:51 Ring theory Module theory Homological algebra Algebraic structures Noetherian ring Finitely-generated module Depth Local ring Associated prime Abstract algebra Algebra Commutative algebra
53	IRREDUCIBLE COMPONENTS OF RIGID SPACES BRIAN CONRAD This paper lays the foundations for the global theory of irreducible components of rigid analytic spaces over a complete field k. We prove the excellence of the local r Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2004-08-10 17:07:55 Commutative algebra Ring Krull dimension Noetherian ring Discrete valuation ring Integral element Valuation ring Divisor Integrally closed domain Abstract algebra Algebra Ring theory
54	The following notes are based on those of Tom Marley’s lecture notes from a course on local cohomology in the summer[removed]Refresher on Injective Modules Recall the following proposition from 902: Proposition 1.1. I Add to Reading List Source URL: www.math.unl.edu Language: English - Date: 2008-07-23 16:16:55 Module theory Commutative algebra Ring theory Algebraic structures Injective module Noetherian ring Derived functor Completion Depth Abstract algebra Algebra Homological algebra
55	LOCAL COHOMOLOGY MODULES WITH INFINITE DIMENSIONAL SOCLES THOMAS MARLEY AND JANET C. VASSILEV Abstract. In this paper we prove the following generalization of a result of Hartshorne: Let T be a commutative Noetherian loc Add to Reading List Source URL: www.math.unl.edu Language: English - Date: 2004-01-15 15:16:17 Ring theory Module theory Homological algebra Algebraic structures Finitely-generated module Commutative ring Sheaf Integral element Polynomial ring Abstract algebra Algebra Commutative algebra
56	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
57	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
58	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
59	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
60	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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