Commutative ring

Results: 388



#Item
271Commutative algebra / Polynomials / Algebraic structures / Algebraic geometry / Monomial order / Ideal / Monomial / Polynomial ring / Polynomial / Abstract algebra / Algebra / Ring theory

Ideals, Varieties and Macaulay 2 Bernd Sturmfels? This chapter introduces Macaulay 2 commands for some elementary computations in algebraic geometry. Familiarity with Gr¨ obner bases is assumed. Many students and resear

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Source URL: www.math.uiuc.edu

Language: English - Date: 2001-04-28 11:06:43
272Commutative algebra / Algebraic structures / Ring theory / Invariant theory / Polynomials / Hilbert series and Hilbert polynomial / Monomial / Ideal / Algebraic geometry / Abstract algebra / Algebra / Mathematics

Algorithms for the Toric Hilbert Scheme Michael Stillman, Bernd Sturmfels, and Rekha Thomas The toric Hilbert scheme parametrizes all algebras isomorphic to a given semigroup algebra as a multigraded vector space. All co

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Source URL: www.math.uiuc.edu

Language: English - Date: 2001-04-28 11:06:30
273Algebraic structures / Algebraic geometry / Ring theory / Macaulay computer algebra system / Macaulay2 / Polynomial / Ring / Quotient ring / Module / Abstract algebra / Algebra / Commutative algebra

Preface Systems of polynomial equations arise throughout mathematics, science, and engineering. Algebraic geometry provides powerful theoretical techniques for studying the qualitative and quantitative features of their

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Source URL: www.math.uiuc.edu

Language: English - Date: 2001-05-24 17:09:46
274Commutative 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
275Algebraic geometry / Algebraic structures / Ring theory / Mathematical structures / Macaulay computer algebra system / Macaulay2 / Algebraic variety / Polynomial / Homological algebra / Abstract algebra / Algebra / Commutative algebra

Computations in algebraic geometry with Macaulay 2 Editors: D. Eisenbud, D. Grayson, M. Stillman, and B. Sturmfels Preface

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Source URL: www.math.uiuc.edu

Language: English - Date: 2001-05-25 14:54:04
276Commutative 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
277Commutative algebra / Algebraic structures / Unique factorization domain / Principal ideal domain / Ring / Ideal / Commutative ring / Prime ideal / Maximal ideal / Abstract algebra / Algebra / Ring theory

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

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Source URL: www.math.miami.edu

Language: English - Date: 2004-03-18 17:56:57
278Commutative algebra / Localization / Algebraic structures / Field theory / Valuation / Jacobson radical / Ideal / Local ring / Discrete valuation ring / Abstract algebra / Algebra / Ring theory

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

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Source URL: sierra.nmsu.edu

Language: English - Date: 2005-05-06 18:47:21
279Homological algebra / Algebraic geometry / Module theory / Commutative algebra / Algebraic K-theory / Projective module / Picard group / Abelian group / Dedekind domain / Abstract algebra / Algebra / Ring theory

THESIS FOR THE DEGREE OF DOCTOR OF PHILOSOPHY On the Picard Group of Integer Group Rings OLA HELENIUS

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Source URL: www.math.chalmers.se

Language: English - Date: 2009-05-13 01:43:49
280Commutative 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
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