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Separable extension
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#	Item
31	Course 311, Part IV: Galois Theory Problems Hilary Term[removed]Use Eisenstein’s criterion to verify that the following polynomials are irreducible over Q:— (i ) t2 − 2; Add to Reading List Source URL: www.maths.tcd.ie Language: English - Date: 2006-03-16 12:03:53 Galois group Finite field Normal extension Galois theory Field extension Discriminant Fundamental theorem of algebra Splitting field Separable polynomial Abstract algebra Algebra Field theory
32	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
33	A THEOREM OF HOCHSTER AND HUNEKE CONCERNING TIGHT CLOSURE AND HILBERT-KUNZ MULTIPLICITY LORI MCDONNELL Abstract. We provide a (mostly) self-contained treatment of Hochster and Huneke’s theorem characterizing Hilbert-Ku Add to Reading List Source URL: www.math.unl.edu Language: English - Date: 2009-07-31 13:13:14 Commutative algebra Module theory Algebras Torsion Separable algebra Finite field Integral element Field extension Field Abstract algebra Field theory Homological algebra
34	ROOT NUMBERS AND RANKS IN POSITIVE CHARACTERISTIC B. CONRAD, K. CONRAD, AND H. HELFGOTT Abstract. For a global field K and an elliptic curve Eη over K(T ), Silverman’s specialization theorem implies rank(Eη (K(T ))) Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2005-10-02 23:07:54 Group theory Diophantine geometry Algebraic curves Abelian variety Birch and Swinnerton-Dyer conjecture Supersingular elliptic curve Finite field Separable extension Lenstra elliptic curve factorization Abstract algebra Elliptic curves Number theory
35	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
36	CLASSIFICATION OF PSEUDO-REDUCTIVE GROUPS BRIAN CONRAD AND GOPAL PRASAD Abstract. In an earlier work [CGP], a general theory for pseudo-reductive groups G over arbitrary fields k was developed, and a structure theorem wa Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2013-12-17 09:51:09 Representation theory Lie groups Reductive group Root datum Field extension Separable extension Unipotent Gelfand pair Symmetric space Abstract algebra Algebra Algebraic groups
37	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
38	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
39	Chapter 2 Norms, Traces and Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2010-08-05 15:45:36 Algebraic number theory Polynomials Separable extension Discriminant Field extension Inner product space Trace Algebraic number field Discriminant of an algebraic number field Algebra Abstract algebra Mathematics
40	THE ARTIN-SCHREIER THEOREM KEITH CONRAD Add to Reading List Source URL: www.math.uconn.edu Language: English - Date: 2013-03-16 18:51:49 Galois theory Algebraic number theory Group theory Artin–Schreier theory Field Separable extension Algebraic closure Galois extension Real closed field Abstract algebra Algebra Field theory