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Commutative algebra
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#	Item
501	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 Add to Reading List Source URL: www.math.miami.edu Language: English - Date: 2004-03-18 17:56:55 Matrix theory Matrices Determinant Matrix Invertible matrix Diagonal matrix Rank Triangular matrix Elementary matrix Algebra Linear algebra Mathematics
502	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 Add to Reading List Source URL: www.math.unl.edu Language: English - Date: 2006-06-05 14:51:26 Ring theory Module theory Algebraic structures Homological algebra Ideal Finitely-generated algebra Noetherian ring Spectrum of a ring Polynomial ring Abstract algebra Algebra Commutative algebra
503	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 Add to Reading List Source URL: www.math.unl.edu Language: English - Date: 2006-09-22 14:48:59 Ring theory Module theory Homological algebra Algebraic structures Depth Noetherian ring Local ring Cohen–Macaulay ring Associated prime Abstract algebra Algebra Commutative algebra
504	Polynomial Models: from data to equations, from equations to solutions Lorenzo Robbiano Università di Genova Dipartimento di Matematica Add to Reading List Source URL: calvino.polito.it Language: English - Date: 2009-02-20 05:09:55 Mathematics Commutative algebra Polynomials Computer algebra Invariant theory Gröbner basis System of polynomial equations Algebraic variety Field extension Abstract algebra Algebra Algebraic geometry
505	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 Add to Reading List Source URL: www.math.unl.edu Language: English - Date: 2007-11-27 14:20:51 Ring theory Module theory Homological algebra Algebraic structures Noetherian ring Finitely-generated module Depth Local ring Associated prime Abstract algebra Algebra Commutative algebra
506	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 Add to Reading List Source URL: www.math.miami.edu Language: English - Date: 2004-03-18 17:56:54 Algebraic structures Commutative algebra Ring Commutative ring Ideal Polynomial ring Quotient ring Principal ideal Integral domain Abstract algebra Algebra Ring theory
507	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 Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2004-08-10 17:07:55 Commutative algebra Ring Krull dimension Noetherian ring Discrete valuation ring Integral element Valuation ring Divisor Integrally closed domain Abstract algebra Algebra Ring theory
508	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 Add to Reading List Source URL: www.math.unl.edu Language: English - Date: 2008-07-23 16:16:55 Module theory Commutative algebra Ring theory Algebraic structures Injective module Noetherian ring Derived functor Completion Depth Abstract algebra Algebra Homological algebra
509	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
510	A BABY STEP-GIANT STEP ROADMAP ALGORITHM FOR GENERAL ALGEBRAIC SETS ´ SCHOST S. BASU, M-F. ROY, M. SAFEY EL DIN, AND E. Abstract. Let R be a real closed field and D ⊂ R an ordered domain. We give an algorithm that tak Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2012-01-30 23:55:12 Field theory Algebraic geometry Scheme theory Commutative algebra Algebraic curve Algebraic variety Field extension Real algebraic geometry Semialgebraic set Abstract algebra Algebra General topology

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