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Irreducible polynomial
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51	Course 311: Abstract Algebra Academic year[removed]Chapter 2: Rings and Polynomials D. R. Wilkins c David R. Wilkins 1997–2007 Copyright Add to Reading List Source URL: www.maths.tcd.ie Language: English - Date: 2008-01-31 10:23:17 Ring theory Polynomials Algebraic structures Commutative algebra Polynomial ring Polynomial Ideal Quotient ring Irreducible polynomial Abstract algebra Algebra Mathematics
52	Course 311: Galois Theory Problems Academic Year 2007–8 1. Use Eisenstein’s criterion to verify that the following polynomials are irreducible over Q:— (i ) x2 − 2; Add to Reading List Source URL: www.maths.tcd.ie Language: English - Date: 2008-01-31 11:03:39 Galois group Normal extension Finite field Galois theory Field extension Discriminant Splitting field Fundamental theorem of algebra Polynomial Abstract algebra Algebra Field theory
53	Artin’s Construction of an Algebraic Closure Patrick Morandi October 8, 2004 In this note we give a construction of an algebraic closure of an arbitrary …eld. This construction is due to Emil Artin. Zorn’s lemma is Add to Reading List Source URL: sierra.nmsu.edu Language: English - Date: 2004-10-08 10:16:24 Field theory Separable extension Field extension Algebraic closure Polynomial ring Irreducible polynomial Separable polynomial Algebraically closed field Splitting field Abstract algebra Algebra Polynomials
54	SELMER GROUP HEURISTICS AND SIEVES BJORN POONEN These are expanded lecture notes for a series of four lectures at the Arizona Winter School on “Arithmetic statistics” held March 15–19, 2014 in Tucson, Arizona. They Add to Reading List Source URL: swc.math.arizona.edu Language: English - Date: 2014-03-24 04:38:53 Polynomials Field theory Algebraic number theory Algebraic number field Finite field Prime number Degree of a continuous mapping Irreducible polynomial Projective space Abstract algebra Algebra Mathematics
55	Algebraic Number Theory[removed]Field extensions (revision of algebraic prerequisites) Add to Reading List Source URL: www.plouffe.fr Language: English - Date: 2014-05-28 20:47:57 Separable extension Separable polynomial Field extension Field Finite field Integral element Galois theory Algebraic number field Irreducible polynomial Abstract algebra Algebra Field theory
56	Simple geometrically split abelian surfaces over finite fields Kuo-Ming James Chou and Ernst Kani Add to Reading List Source URL: www.mast.queensu.ca Language: English - Date: 2014-02-22 14:58:07 Group theory Polynomials Finite field Elliptic curve Field extension Irreducible polynomial Field Supersingular elliptic curve Galois theory Abstract algebra Algebra Field theory
57	THE UNIVERSITY OF AKRON Mathematics and Computer Science Lesson 6: Dividing & Factoring Polynomials Add to Reading List Source URL: www.math.uakron.edu Language: English - Date: 2002-04-05 21:57:47 Rational function Quadratic equation Quadratic polynomial Irreducible polynomial Partial fraction Factorization of polynomials over a finite field and irreducibility tests Mathematics Polynomials Algebra
58	Exhaustive search methods for CNS polynomials P´eter Burcsi∗ and Attila Kov´acs† Department of Computer Algebra, E¨otv¨os Lor´and University, H-1117 Budapest, Hungary {peter.burcsi, attila.kovacs}@compalg.inf.el Add to Reading List Source URL: szdg.lpds.sztaki.hu Language: English - Date: 2009-02-03 10:33:19 Algebra Irreducible polynomial Cyclotomic polynomial Factorization of polynomials over a finite field and irreducibility tests Schwartz–Zippel lemma Mathematics Polynomials Abstract algebra
59	Simple geometrically split abelian surfaces over finite fields Kuo-Ming James Chou and Ernst Kani Add to Reading List Source URL: www.mast.queensu.ca Language: English - Date: 2010-07-12 11:39:03 Field theory Polynomials Finite field Elliptic curve Field extension Irreducible polynomial Field Supersingular elliptic curve Abstract algebra Algebra Mathematics
60	Chapter 3 Field Fundamentals Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2008-01-02 22:07:25 Mathematics Polynomials Minimal polynomial Splitting field Field extension Irreducible polynomial Field Conjugate element Separable extension Abstract algebra Algebra Field theory