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Algebraic extension
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81	Sage Reference Manual: Algebraic Number Fields Release 6.6.beta0 The Sage Development Team Add to Reading List Source URL: sagemath.org Language: English - Date: 2015-02-21 07:35:20 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
82	Liouville’s Theorem on Integration in Terms of Elementary Functions R.C. Churchill Prepared for the Kolchin Seminar on Differential Algebra (KSDA) Add to Reading List Source URL: math.hunter.cuny.edu Language: English - Date: 2005-09-17 14:03:11 Ring theory Algebraic structures Commutative algebra Field theory Differential algebra Polynomial ring Field extension Differential operator Field Abstract algebra Mathematics Algebra
83	Algebra - Spring 2011 Daren Cheng Jesse Madnick Last updated: September 2013 Acknowledgments & Disclaimers Some of the solutions contained herein are my own, but many are not. I am indebted to Daren Cheng for sharing wit Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2014-07-04 08:33:59 Mathematics Polynomials Minimal polynomial Splitting field Algebraically closed field Finite field Field extension Algebraic integer Field Abstract algebra Algebra Field theory
84	UNIFORM FIRST-ORDER DEFINITIONS IN FINITELY GENERATED FIELDS BJORN POONEN Abstract. We prove that there is a first-order sentence in the language of rings that is true for all finitely generated fields of characteristic Add to Reading List Source URL: www-math.mit.edu Language: English - Date: 2008-07-06 19:05:58 Algebraic number theory Galois theory Algebraic curves Analytic number theory Elliptic curve Frobenius endomorphism Finite field Field extension Supersingular elliptic curve Abstract algebra Algebra Field theory
85	arXiv:0906.2364v1 [math.AG] 12 Jun[removed]RATIONALLY CONNECTED VARIETIES OVER THE MAXIMALLY UNRAMIFIED EXTENSION OF P-ADIC FIELDS BRADLEY DUESLER AND AMANDA KNECHT Add to Reading List Source URL: arxiv.org Language: English - Date: 2009-06-12 11:49:34 Field theory Scheme theory Model theory General topology Zariski topology Field Ultraproduct Quasi-algebraically closed field Hilbert scheme Abstract algebra Algebraic geometry Algebra
86	Asia Pacific Mathematics Newsletter Volume 1 Number 3 July 2011 Add to Reading List Source URL: www.austms.org.au Language: English - Date: 2012-07-31 22:40:13 Field theory Elementary mathematics Meromorphic functions Group theory Transcendental function Elliptic curve Gamma function Algebraic function Field extension Abstract algebra Mathematics Algebra
87	Universit¨ at Regensburg Mathematik On the volume of complex amoebas Add to Reading List Source URL: epub.uni-regensburg.de Language: English - Date: 2011-07-20 22:11:33 Algebraic variety Algebraic curve Amoeba Tropical geometry Field extension Torus Abelian variety Abstract algebra Algebraic geometry Geometry
88	UNRAMIFIED QUATERNION EXTENSIONS OF QUADRATIC NUMBER FIELDS FRANZ LEMMERMEYER Introduction The first mathematician who studied Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:03:51 Quaternion algebra Hilbert class field Splitting of prime ideals in Galois extensions Algebraic number field Quadratic field Normal extension Galois module Field extension Ramification Abstract algebra Algebra Algebraic number theory
89	REAL QUADRATIC FIELDS WITH ABELIAN 2-CLASS FIELD TOWER ELLIOT BENJAMIN DEPARTMENT OF MATHEMATICS UNITY COLLEGE, UNITY, ME[removed]AND Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2005-03-25 13:48:58 Class number formula Quadratic field Discriminant Ideal class group Field extension Quaternion algebra Genus field Algebraic number field Class field theory Abstract algebra Algebra Algebraic number theory
90	GALOIS ACTION ON CLASS GROUPS FRANZ LEMMERMEYER Abstract. It is well known that the Galois group of an extension L/F puts constraints on the structure of the relative ideal class group Cl(L/F ). Explicit results, however Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:03:29 Field theory Galois theory Class field theory Group theory Galois group Field extension Representation theory of finite groups Conductor Galois module Abstract algebra Algebra Algebraic number theory

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