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Noetherian
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71	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
72	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
73	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
74	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
75	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
76	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
77	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
78	Updated: July 11, 1996 Corrections to Commutative Algebra with a View Towards Algebraic Geometry by David Eisenbud Add to Reading List Source URL: www.msri.org Language: English - Date: 2000-04-21 16:06:19 Commutative algebra Prime ideals Ideals Algebraic structures Noetherian ring Local ring Minimal prime Lasker–Noether theorem Commutative ring Abstract algebra Algebra Ring theory
79	In this note, we show that the proof of [EGA Th´eor`eme III[removed]can be slightly modiﬁed to avoid spectral sequences. The statement of the theorem is as follows: Let Y be a locally Noetherian scheme and f : X −→ Add to Reading List Source URL: www.uv.es Language: English - Date: 2006-02-13 05:50:08 Algebraic geometry Homological algebra Algebraic topology Sheaf Ample line bundle Proper morphism Morphism Derived functor Natural transformation Abstract algebra Algebra Functors
80	PDF Document Add to Reading List Source URL: www.math.hawaii.edu Language: English - Date: 2001-04-07 05:40:18 Algebraic structures Commutative algebra Module theory Homological algebra Ring Dedekind domain Torsion Idempotence Noetherian ring Abstract algebra Algebra Ring theory

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