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Commutative algebra
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491	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 Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2001-04-28 11:04:26 Commutative algebra Ring theory Module theory Algebraic structures D-module Local cohomology Sheaf Finitely-generated module Local ring Abstract algebra Algebra Homological algebra
492	Computations in algebraic geometry with Macaulay 2 Editors: D. Eisenbud, D. Grayson, M. Stillman, and B. Sturmfels Preface Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2001-05-25 14:54:04 Algebraic geometry Algebraic structures Ring theory Mathematical structures Macaulay computer algebra system Macaulay2 Algebraic variety Polynomial Homological algebra Abstract algebra Algebra Commutative algebra
493	Algorithms and Computation in Mathematics • Volume 8 Editors E. Becker M. Bronstein D. Eisenbud R. Gilman Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2002-01-07 18:01:22 Bernd Sturmfels David Eisenbud Springer Science+Business Media Macaulay computer algebra system Commutative algebra Combinatorial commutative algebra Academia Academic publishing Mathematics
494	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 Add to Reading List Source URL: www.math.unl.edu Language: English - Date: 2002-01-18 14:20:40 Commutative algebra Ring theory Algebraic structures Homological algebra Finitely-generated module Depth Associated prime Noetherian ring Commutative ring Abstract algebra Algebra Module theory
495	Chapter 6 Appendix The five previous chapters were designed for a year undergraduate course in algebra. In this appendix, enough material is added to form a basic first year graduate course. Two of the main goals are to Add to Reading List Source URL: www.math.miami.edu Language: English - Date: 2004-03-18 17:56:57 Commutative algebra Algebraic structures Unique factorization domain Principal ideal domain Ring Ideal Commutative ring Prime ideal Maximal ideal Abstract algebra Algebra Ring theory
496	Rings with no Maximal Ideals Patrick J. Morandi In this note we give examples of a ring that has no maximal ideals. Recall that, by a Zorn’s lemma argument, a ring with identity has a maximal ideal. Therefore, we need Add to Reading List Source URL: sierra.nmsu.edu Language: English - Date: 2005-05-06 18:47:21 Commutative algebra Localization Algebraic structures Field theory Valuation Jacobson radical Ideal Local ring Discrete valuation ring Abstract algebra Algebra Ring theory
497	THESIS FOR THE DEGREE OF DOCTOR OF PHILOSOPHY On the Picard Group of Integer Group Rings OLA HELENIUS Add to Reading List Source URL: www.math.chalmers.se Language: English - Date: 2009-05-13 01:43:49 Homological algebra Algebraic geometry Module theory Commutative algebra Algebraic K-theory Projective module Picard group Abelian group Dedekind domain Abstract algebra Algebra Ring theory
498	Intersection of algebraic plane curves / Some results on the (monic) integer transfinite diameter Jan Hilmar Add to Reading List Source URL: www.maths.ed.ac.uk Language: English - Date: 2010-11-14 10:09:15 Polynomials Commutative algebra Invariant theory Group theory Computer algebra Euclidean algorithm Resultant Chebyshev polynomials Number Abstract algebra Algebra Mathematics
499	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. Add to Reading List Source URL: www.math.unl.edu Language: English - Date: 2002-10-02 13:38:39 Commutative algebra Ring theory Homological algebra Algebraic structures Finitely-generated module Associated prime Noetherian ring Local ring Completion Abstract algebra Algebra Module theory
500	REFINED BOUNDS ON THE NUMBER OF CONNECTED COMPONENTS OF SIGN CONDITIONS ON A VARIETY SAL BARONE AND SAUGATA BASU Abstract. Let R be a real closed field, P, Q ⊂ R[X1 , . . . , Xk ] finite subsets of polynomials, with th Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2011-11-06 10:09:22 Algebraic geometry Commutative algebra Field extension Algebraic variety Algebraically closed field Zariski topology Betti number Puiseux series Algebraic closure Abstract algebra Algebra Field theory

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