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Prime ideals
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51	Chapter 4 Factoring of Prime Ideals in Extensions 4.1 Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2009-03-16 22:58:56 Algebraic number theory Commutative algebra Ring theory Modular arithmetic Number theory Integral domain Unique factorization domain Prime ideal Quadratic residue Abstract algebra Algebra Mathematics
52	Chapter 8 Factoring of Prime Ideals in Galois Extensions 8.1 Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2008-05-07 12:04:09 Algebraic number theory Field theory Splitting of prime ideals in Galois extensions Artin reciprocity law Frobenius endomorphism Field Galois group Fundamental theorem of Galois theory Proofs of quadratic reciprocity Abstract algebra Algebra Galois theory
53	Chapter 1 Introduction Techniques of abstract algebra have been applied to problems in number theory for a long time, notably in the eﬀort to prove Fermat’s last theorem. As an introductory example, we will sketch a Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2008-08-05 22:17:48 Commutative algebra Algebraic structures Prime ideals Localization Integral element Ring Integral domain Ideal Local ring Abstract algebra Algebra Ring theory
54	Galois Symbols on the square of an elliptic curve by Jacob Murre and Dinakar Ramakrishnan∗ Abstract We prove some theorems concerning the Galois symbol map Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2005-07-19 11:40:28 Field theory Galois theory Analytic number theory Elliptic curve Group theory Algebraic number field Field Semistable abelian variety Splitting of prime ideals in Galois extensions Abstract algebra Algebra Algebraic number theory
55	PDF Document Add to Reading List Source URL: www.ias.ac.in Language: English - Date: 2013-12-02 07:06:04 Algebraic structures Ideals Field theory Semiprime ring Ring Prime ideal Field Quotient ring Characteristic Abstract algebra Algebra Ring theory
56	Lectures on Affine Algebraic Geometry Marc Masdeu-Sabat´e May 29, 2009 2 Add to Reading List Source URL: homepages.warwick.ac.uk Language: English - Date: 2014-01-10 05:48:37 Scheme theory Commutative algebra Algebraic structures Prime ideals Spectrum of a ring Scheme Commutative ring Reduced ring Ring Abstract algebra Algebra Ring theory
57	Universiteit Leiden Mathematisch Instituut Master thesis On local Galois module structure for cyclic extensions of prime degree Add to Reading List Source URL: www.algant.eu Language: English - Date: 2012-07-12 18:50:36 Galois theory Field theory Galois module Ramification Algebraic number field Field extension Field Different ideal Splitting of prime ideals in Galois extensions Abstract algebra Algebra Algebraic number theory
58	University of Bordeaux 1 algant master thesis Galois Representations Attached to Elliptic Curves Add to Reading List Source URL: www.algant.eu Language: English - Date: 2012-07-12 18:58:52 Elliptic curves Elliptic functions Class field theory Supersingular elliptic curve Galois module Algebraic number field Splitting of prime ideals in Galois extensions Complex multiplication J-invariant Abstract algebra Algebraic number theory Galois theory
59	(March 1, [removed]Artin L-functions Paul Garrett [removed] http://www.math.umn.edu/˜garrett/ Add to Reading List Source URL: www.math.umn.edu Language: English - Date: 2005-03-01 09:49:10 Galois theory Class field theory Field theory Number theory Artin L-function Artin reciprocity law Frobenius endomorphism Splitting of prime ideals in Galois extensions Algebraic number field Abstract algebra Algebra Algebraic number theory
60	APPENDIX: POTENTIAL MODULARITY OF ELLIPTIC CURVES OVER TOTALLY REAL FIELDS JEAN-PIERRE WINTENBERGER The following theorem is well known to experts. Theorem 0.1. Let E an elliptic curve over a totally real number field F Add to Reading List Source URL: www-irma.u-strasbg.fr Language: English - Date: 2008-11-21 08:07:51 Galois theory Field theory Group theory Analytic number theory Galois module Algebraic number field Elliptic curve Cyclotomic character Splitting of prime ideals in Galois extensions Abstract algebra Algebra Algebraic number theory

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