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Polynomial ring
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151	MTH[removed]Introduction to Abstract Algebra D. S. Malik Creighton University Add to Reading List Source URL: people.creighton.edu Language: English - Date: 2010-09-03 08:15:18 Field theory Algebraic structures Commutative algebra Ideal Ring Quotient ring Homomorphism Field Polynomial ring Abstract algebra Algebra Ring theory
152	RINGS WITH A POLYNOMIAL IDENTITY IRVING KAPLANSKY 1. Introduction. In connection with his investigation of projective planes, M. Hall [2, Theorem 6.2]* proved the following theorem: a division ring D in which the identit Add to Reading List Source URL: www.ams.org Language: English - Date: 2010-01-14 12:04:18 Ring theory Algebraic structures Mathematical structures Algebras Polynomial Banach algebra Vector space Linear algebra Field Abstract algebra Algebra Mathematics
153	arXiv:math/0104151v1 [math.RT] 13 Apr[removed]CLUSTER ALGEBRAS I: FOUNDATIONS SERGEY FOMIN AND ANDREI ZELEVINSKY To the memory of Sergei Kerov Abstract. In an attempt to create an algebraic framework for dual canonical Add to Reading List Source URL: arxiv.org Language: English - Date: 2008-02-01 02:27:50 Polynomials Commutative algebra Hopf algebras Invariant theory Cluster algebra Polynomial ring Universal enveloping algebra Homogeneous polynomial Laurent polynomial Abstract algebra Algebra Ring theory
154	book reviews[removed]M. Rieffel, Non-commutative tori—a case study of noncommutative differentiable manifolds, Contemp. Math. (J. Kaminker, ed.), Geometric and Topological Invariants of Elliptic Op- Add to Reading List Source URL: www.ams.org Language: English - Date: 2010-03-29 15:28:44 Commutative algebra Algebraic structures Algebraic number theory Field theory Algebraic number field Ring Commutative ring Field Polynomial Abstract algebra Algebra Ring theory
155	Monomial Ideals Serkan Ho¸sten and Gregory G. Smith Monomial ideals form an important link between commutative algebra and combinatorics. In this chapter, we demonstrate how to implement algorithms in Macaulay 2 for stu Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2001-05-18 17:00:12 Ring theory Commutative algebra Polynomials Invariant theory Order theory Monomial Hilbert series and Hilbert polynomial Polynomial ring Algebraic geometry Abstract algebra Algebra Mathematics
156	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 Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2001-04-28 11:06:43 Commutative algebra Polynomials Algebraic structures Algebraic geometry Monomial order Ideal Monomial Polynomial ring Polynomial Abstract algebra Algebra Ring theory
157	Resolutions and Cohomology over Complete Intersections Luchezar L. Avramov and Daniel R. Grayson? This chapter contains a new proof and new applications of a theorem of Shamash and Eisenbud, providing a construction of p Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2001-05-10 10:27:21 Algebraic structures Ring theory Mathematical structures Polynomials Exterior algebra D-module Ring Polynomial ring Matrix Algebra Abstract algebra Mathematics
158	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 Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2001-04-28 11:06:30 Commutative algebra Algebraic structures Ring theory Invariant theory Polynomials Hilbert series and Hilbert polynomial Monomial Ideal Algebraic geometry Abstract algebra Algebra Mathematics
159	Projective Geometry and Homological Algebra David Eisenbud? We provide an introduction to many of the homological commands in Macaulay 2 (modules, free resolutions, Ext and Tor[removed]by means of examples showing how to Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2001-04-28 11:05:10 Multilinear algebra Algebraic varieties Interpolation Algebraic geometry Homogeneous polynomial Jacobian matrix and determinant Proj construction Homogeneous coordinate ring Cluster algebra Algebra Mathematics Linear algebra
160	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 Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2001-05-24 17:09:46 Algebraic structures Algebraic geometry Ring theory Macaulay computer algebra system Macaulay2 Polynomial Ring Quotient ring Module Abstract algebra Algebra Commutative algebra

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