Finitely-generated algebra

Results: 86



#Item
61Commutative algebra / Ring theory / Algebraic structures / Homological algebra / Finitely-generated module / Depth / Associated prime / Noetherian ring / Commutative ring / Abstract algebra / Algebra / Module theory

COFINITENESS AND ASSOCIATED PRIMES OF LOCAL COHOMOLOGY MODULES THOMAS MARLEY AND JANET C. VASSILEV Abstract. Let R be a d-dimensional regular local ring, I an ideal of R, and M a finitely generated R-module of dimension

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Source URL: www.math.unl.edu

Language: English - Date: 2002-01-18 14:20:40
62Commutative algebra / Ring theory / Homological algebra / Algebraic structures / Finitely-generated module / Associated prime / Noetherian ring / Local ring / Completion / Abstract algebra / Algebra / Module theory

COFINITE MODULES AND LOCAL COHOMOLOGY Donatella Delfino and Thomas Marley 1 Abstract. We show that if M is a finitely generated module over a commutative Noetherian local ring R and I is a dimension one ideal of R (i.e.

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Source URL: www.math.unl.edu

Language: English - Date: 2002-10-02 13:38:39
63Ring theory / Module theory / Algebraic structures / Homological algebra / Ideal / Finitely-generated algebra / Noetherian ring / Spectrum of a ring / Polynomial ring / Abstract algebra / Algebra / Commutative algebra

ON RINGS FOR WHICH FINITELY GENERATED IDEALS HAVE ONLY FINITELY MANY MINIMAL COMPONENTS THOMAS MARLEY Abstract. For a commutative ring R we investigate the property that the sets of minimal primes of finitely generated i

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Source URL: www.math.unl.edu

Language: English - Date: 2006-06-05 14:51:26
64Matrix theory / Matrices / Numerical linear algebra / Matrix / Invertible matrix / Diagonal matrix / Kernel / Smith normal form / Ideal / Algebra / Linear algebra / Mathematics

The Smith Normal Form of a Matrix Patrick J. Morandi February 17, 2005 In this note we will discuss the structure theorem for finitely generated modules over a principal ideal domain from the point of view of matrices. W

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Source URL: sierra.nmsu.edu

Language: English - Date: 2005-02-17 16:05:46
65Ring theory / Module theory / Homological algebra / Algebraic structures / Noetherian ring / Finitely-generated module / Depth / Local ring / Associated prime / Abstract algebra / Algebra / Commutative algebra

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

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Source URL: www.math.unl.edu

Language: English - Date: 2007-11-27 14:20:51
66Ring theory / Module theory / Homological algebra / Algebraic structures / Finitely-generated module / Commutative ring / Sheaf / Integral element / Polynomial ring / Abstract algebra / Algebra / Commutative algebra

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

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Source URL: www.math.unl.edu

Language: English - Date: 2004-01-15 15:16:17
67Commutative algebra / Ring theory / Homological algebra / Algebraic structures / Depth / Finitely-generated module / Associated prime / Noetherian ring / Krull dimension / Abstract algebra / Algebra / Module theory

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

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Source URL: www.math.unl.edu

Language: English - Date: 2001-01-19 11:20:48
68Commutative algebra / Homological algebra / Homological conjectures in commutative algebra / Finitely-generated module / Projective module / Torsion / Depth / Module / Associated prime / Abstract algebra / Algebra / Module theory

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

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Source URL: www.math.unl.edu

Language: English - Date: 2009-08-05 16:24:10
69Commutative algebra / Homological algebra / Projective module / Representation theory / Finitely-generated module / Nakayama lemma / Abstract algebra / Algebra / Module theory

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

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Source URL: www.math.unl.edu

Language: English - Date: 2009-08-11 16:19:46
70Ring theory / Commutative algebra / Homological algebra / Finitely-generated module / Projective module / Depth / Flat module / Local ring / Commutative ring / Abstract algebra / Algebra / Module theory

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

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Source URL: www.math.unl.edu

Language: English - Date: 2009-02-25 18:09:33
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