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Commutative algebra
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481	Teaching the Geometry of Schemes Gregory G. Smith and Bernd Sturmfels This chapter presents a collection of graduate level problems in algebraic geometry illustrating the power of Macaulay 2 as an educational tool. When Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2001-05-18 17:20:58 Prime ideals Commutative algebra Algebraic number field Algebraic number theory Field theory Ring Algebraic geometry Ideal Spectrum of a ring Abstract algebra Algebra Algebraic structures
482	Why n-Categories? John C. Baez n=0 n=1 •x Add to Reading List Source URL: www.ima.umn.edu Language: English - Date: 2004-06-11 10:36:24 Algebraic structures Ring theory Mathematical structures Associator Nonassociative algebra Ring Commutative property Algebra Mathematics Abstract algebra
483	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
484	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
485	Cover Art: Enigma of Sentience; an Allegory of the Arts and Sciences A painting by Ernest P. Garcia Created for the 10th Anniversary of Albuquerque TVI’s Arts and Sciences Department. An allegory in painting is the us Add to Reading List Source URL: math.unm.edu Language: English - Date: 2001-05-28 23:35:41 Mathematics Algebraic geometry Gröbner basis Invariant theory Computer algebra system Hilbert series and Hilbert polynomial Linear algebra Symbolic computation Polynomial Algebra Computer algebra Commutative algebra
486	Bjarke Hammersholt Roune Danish citizen [removed] http://www.broune.com/ Add to Reading List Source URL: www.broune.com Language: English - Date: 2013-05-03 15:06:39 Computer algebra Algebraic geometry Commutative algebra Gröbner basis Invariant theory Computer algebra system Magma computer algebra system Symbolic computation Macaulay computer algebra system Abstract algebra Mathematics Algebra
487	ACM 8 http://www.springer.de Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2002-01-07 18:01:22 Macaulay2 Macaulay computer algebra system David Eisenbud Bernd Sturmfels Algebraic geometry Commutative algebra Francis Sowerby Macaulay Combinatorial commutative algebra Mathematics Algebra Academia
488	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
489	Math is power Department of Mathematics Dartmouth College - Hanover, NH September[removed]Letter from the Chair, Dan Rockmore Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2012-10-05 10:00:07 Mathematics education Bernd Sturmfels Mathematics Abstract algebra Mathematical sciences Algebraic geometry Commutative algebra Noncommutative geometry Algebraic combinatorics Connection
490	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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