Module theory

Results: 977



#Item
821Ring 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
822Module theory / Commutative algebra / Ring theory / Algebraic structures / Injective module / Noetherian ring / Derived functor / Completion / Depth / Abstract algebra / Algebra / Homological algebra

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

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Source URL: www.math.unl.edu

Language: English - Date: 2008-07-23 16:16:55
823Normal subgroup / Quotient group / Coset / Index of a subgroup / Group homomorphism / Subgroup / Group / Abelian group / Cyclic group / Abstract algebra / Algebra / Group theory

Chapter 2 Groups Groups are the central objects of algebra. In later chapters we will define rings and modules and see that they are special cases of groups. Also ring homomorphisms and module homomorphisms are special c

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Source URL: www.math.miami.edu

Language: English - Date: 2004-03-18 17:56:53
824Ring 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
825Field extension / Ring theory / Field theory / Algebraic varieties / Clifford algebra / Galois module / Abstract algebra / Algebra / Algebraic geometry

On a real analogue of Bezout inequality and the number of connected components of sign conditions Sal Barone and Saugata Basu Department of Mathematics Purdue University, West Lafayette, IN[removed]removed],

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Source URL: www.math.purdue.edu

Language: English - Date: 2013-05-22 00:59:00
826Commutative 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
827Homological algebra / Algebraic groups / Niels Henrik Abel / Scheme theory / Group scheme / Abelian group / Abelian variety / Tate module / Elliptic curve / Abstract algebra / Algebra / Algebraic geometry

Workshop on group schemes and p-divisible groups: Homework[removed]Let A be an abelian variety over a field k with characteristic p > 0 and dimension g > 0. Use the fact that A and A∨ are isogenous to prove that the ´et

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Source URL: math.stanford.edu

Language: English - Date: 2005-05-26 17:43:25
828Demazure module / Zonal spherical function / Macdonald polynomials / Whittaker model / Iwahori subgroup / Weight / Spectral theory of ordinary differential equations / Plancherel theorem for spherical functions / Abstract algebra / Algebra / Representation theory

Whittaker Functions and Demazure Operators Ben Brubaker1 , Daniel Bump2 , and Anthony Licata3 January 16, 2014 Dedicated to the memory of Steve Rallis Abstract We show that elements of a natural basis of the Iwahori fixe

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Source URL: sporadic.stanford.edu

Language: English - Date: 2014-01-16 13:20:57
829Commutative algebra / Ring theory / Algebraic structures / Homological algebra / Graded algebra / Module / Noetherian ring / Lasker–Noether theorem / Ideal / Abstract algebra / Algebra / Module theory

GRADED RINGS AND MODULES Tom Marley Throughout these notes, all rings are assumed to be commutative with identity. §1. Definitions and examples

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Source URL: www.math.unl.edu

Language: English - Date: 2001-02-02 11:06:19
830Commutative 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
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