Finitely-generated module

Results: 74



#Item
51Ring theory / Module theory / Algebraic geometry / Algebraic topology / Finitely-generated module / Sheaf / D-module / Module / Noetherian ring / Abstract algebra / Algebra / Commutative algebra

Geometry of manifolds, lecture 4 M. Verbitsky Geometry of manifolds Lecture 5: Derivations in rings

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Source URL: verbit.ru

Language: English - Date: 2013-03-04 12:59:10
52Commutative algebra / Ring theory / Module theory / Algebraic structures / D-module / Local cohomology / Sheaf / Finitely-generated module / Local ring / Abstract algebra / Algebra / Homological algebra

D-modules and Cohomology of Varieties Uli Walther In this chapter we introduce the reader to some ideas from the world of differential operators. We show how to use these concepts in conjunction with Macaulay 2 to obtain

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Source URL: www.math.uiuc.edu

Language: English - Date: 2001-04-28 11:04:26
53Commutative 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
54Commutative 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
55Ring 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
56Ring 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
57Ring 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
58Commutative 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
59Commutative 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
60Commutative 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
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