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Algebraic extension
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141	Computations on diagonal quartic surfaces Martin James Bright Clare College Add to Reading List Source URL: www.boojum.org.uk Language: English - Date: 2014-05-21 04:57:22 Algebraic number theory Galois theory Group theory Algebraic varieties Picard group Brauer group Field extension Absolute Galois group Rational function Abstract algebra Algebra Field theory
142	Discrete Comput Geom 30:65–[removed]DOI: [removed]s00454[removed]Discrete & Computational Geometry Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2010-06-16 13:35:46 Field theory Algebraic topology Betti number Topological graph theory Algebraic number theory Algebraic geometry Field extension Field Intersection number Abstract algebra Mathematics Algebra
143	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
144	Divide and conquer roadmap for algebraic sets Saugata Basu Marie-Françoise roy Department of Mathematics Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2013-05-22 00:58:23 Algebraic geometry Algebraic variety Field extension Algebraic curve Field Algebraic extension Algebraic independence Abstract algebra Algebra Field theory
145	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
146	POLYNOMIAL HIERARCHY, BETTI NUMBERS AND A REAL ANALOGUE OF TODA’S THEOREM SAUGATA BASU AND THIERRY ZELL 1. Brief Description Toda proved in 1989 that the (discrete) polynomial time hierarchy, PH, is contained in the cl Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2010-06-16 13:35:58 Field theory Algebraic geometry Polynomial Field extension Field Computational complexity theory Betti number Finite field Number Abstract algebra Mathematics Algebra
147	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
148	On a real analogue of Bezout inequality and the number of connected components of sign conditions Sal Barone and Saugata Basu Department of Mathematics Purdue University, West Lafayette, IN[removed]removed], Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2013-05-22 00:59:00 Field extension Ring theory Field theory Algebraic varieties Clifford algebra Galois module Abstract algebra Algebra Algebraic geometry
149	Irreducible radical extensions and Euler-function chains Florian Luca Carl Pomerance Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2006-06-21 13:30:56 Galois theory Algebraic number theory Group theory Separable extension Galois group Field extension Algebraic number field Primality certificate Kummer theory Abstract algebra Algebra Field theory
150	´ COMPUTING THE EULER-POINCARE CHARACTERISTICS OF SIGN CONDITIONS Saugata Basu, Richard Pollack, and Marie-Franc Add to Reading List Source URL: www.math.purdue.edu Language: English - Date: 2010-06-16 13:35:52 Algebraic topology Topological graph theory Algebraic geometry Euler characteristic Betti number Algebraic variety Field extension Simplicial complex Bernoulli number Abstract algebra Mathematics Topology