Commutative ring

Results: 388



#Item
281Matrix theory / Matrices / Determinant / Matrix / Invertible matrix / Diagonal matrix / Rank / Triangular matrix / Elementary matrix / Algebra / Linear algebra / Mathematics

Chapter 4 Matrices and Matrix Rings We first consider matrices in full generality, i.e., over an arbitrary ring R. However, after the first few pages, it will be assumed that R is commutative. The topics, such as inverti

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Source URL: www.math.miami.edu

Language: English - Date: 2004-03-18 17:56:55
282Ring 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
283Ring theory / Module theory / Homological algebra / Algebraic structures / Depth / Noetherian ring / Local ring / Cohen–Macaulay ring / Associated prime / Abstract algebra / Algebra / Commutative algebra

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

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Source URL: www.math.unl.edu

Language: English - Date: 2006-09-22 14:48:59
284Ring 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
285Algebraic structures / Commutative algebra / Ring / Commutative ring / Ideal / Polynomial ring / Quotient ring / Principal ideal / Integral domain / Abstract algebra / Algebra / Ring theory

Chapter 3 Rings Rings are additive abelian groups with a second operation called multiplication. The connection between the two operations is provided by the distributive law. Assuming the results of Chapter 2, this chap

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Source URL: www.math.miami.edu

Language: English - Date: 2004-03-18 17:56:54
286Commutative algebra / Ring / Krull dimension / Noetherian ring / Discrete valuation ring / Integral element / Valuation ring / Divisor / Integrally closed domain / Abstract algebra / Algebra / Ring theory

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

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Source URL: math.stanford.edu

Language: English - Date: 2004-08-10 17:07:55
287Module 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
288Ring 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
289Group scheme / Barsotti–Tate group / Étale morphism / Spectrum of a ring / Flat topology / Frobenius endomorphism / Flat module / Grothendieck topology / Commutative ring / Abstract algebra / Algebra / Algebraic geometry

Workshop on group schemes and p-divisible groups: Homework[removed]i) Using the structure theorem and Frobenius morphisms, prove that a finite group scheme over a field is killed by its order. (Exer. 3(ii) in HW1 gives a

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Source URL: math.stanford.edu

Language: English - Date: 2005-05-26 17:44:58
290Commutative 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
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