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Algebraic extension
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111	20 Approximation by rationals (Diophantine approximation) We all know that real numbers can be approximated by the rationals pq (with Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2001-06-01 18:03:32 Field theory Field extension Irrational number Transcendental numbers Algebraic number theory Pi Liouville number Algebraic number field Abstract algebra Mathematics Algebra
112	Houston Journal of Mathematics c 2000 University of Houston Volume 26, No. 4, 2000 ON FIBREWISE RETRACTION AND EXTENSION Add to Reading List Source URL: www.math.uh.edu Language: English - Date: 2002-12-03 14:31:26 Functions and mappings Algebraic topology Deformation retract Topology Adjoint functors Group action Function Sheaf Continuous function Mathematics Abstract algebra Mathematical analysis
113	Séminaire Dubreil. Algèbre DAVID E ISENBUD Notes on an extension of Krull’s principal ideal theorem Séminaire Dubreil. Algèbre, tome 28, no[removed]), exp. no 20, p. 1-4. Add to Reading List Source URL: www.msri.org Language: English - Date: 2007-03-15 02:15:01 Ring theory Algebraic structures Prime ideals Ideals Maximal ideal Local ring Depth Ring Spectrum of a ring Abstract algebra Algebra Commutative algebra
114	Sage Reference Manual: Algebraic Number Fields Release 6.3 The Sage Development Team Add to Reading List Source URL: www.sagemath.org Language: English - Date: 2014-11-16 14:58:20 Field theory Algebraic number field Sage Cyclotomic field Tensor product of fields Ideal class group Exponentiation Field extension Quadratic field Abstract algebra Algebra Algebraic number theory
115	Sage Reference Manual: Algebraic Function Fields Release 6.3 The Sage Development Team Add to Reading List Source URL: www.sagemath.org Language: English - Date: 2014-11-16 14:58:22 Algebraic varieties Rational function Algebraic function Field extension Exponentiation Function Polynomial Elliptic curve Algebraic number field Abstract algebra Mathematics Algebra
116	Algebraic cycles on Hilbert modular fourfolds and poles of L-functions Dinakar Ramakrishnan[removed]Caltech, Pasadena, CA[removed]To M.S. Raghunathan on his sixtieth birthday, with admiration Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2003-10-13 16:03:18 Algebraic number theory Homological algebra Conjectures Hodge theory Algebraic number field Hodge conjecture Algebraic cycle Field extension Hodge structure Abstract algebra Algebra Algebraic geometry
117	Gather-Update-Solve-Scatter (GUSS) 1 Introduction The purpose of this chapter is to detail an extension of the GAMS modeling system that allows collections of models Add to Reading List Source URL: www.gams.com Language: English - Date: 2014-09-02 04:00:18 Mathematics Linear programming AMPL Relational model General Algebraic Modeling System Operations research Mathematical optimization Applied mathematics
118	ARITHMETIC TASK Suppose you are building a train using 3 different colored snap cubes. In how many ways can you arrange the 3 cars? Draw a picture of how you were able to arrange the cars. EXTENSION TO ALGEBRAIC THINKIN Add to Reading List Source URL: ncisla.wceruw.org Language: English - Date: 2003-05-06 18:44:17
119 $Field theory / Polynomials / Commutative algebra / Ring theory / Separable extension / Minimal polynomial / Field extension / Partial fraction / Algebraic number field / Abstract algebra / Algebra / Mathematics$	Enrichment Chapters 1–4 form an idealized undergraduate course, written in the style of a graduate text. To help those seeing abstract algebra for the ﬁrst time, I have prepared this section, which contains advice, e Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2006-06-06 11:18:53 Field theory Polynomials Commutative algebra Ring theory Separable extension Minimal polynomial Field extension Partial fraction Algebraic number field Abstract algebra Algebra Mathematics
120	Chapter 6 Galois Theory 6.1 Fixed Fields and Galois Groups Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2006-08-28 17:41:55 Galois theory Group theory Algebraic number theory Fundamental theorem of Galois theory Galois group Galois extension Separable extension Galois connection Field Abstract algebra Algebra Field theory

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