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Unique factorization domain
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1	MATHEMATICS 129, SPRING 2009 NUMBER FIELDS KATHERINE E. STANGE Contents 1. Add to Reading List Source URL: math.colorado.edu Language: English - Date: 2015-10-18 16:52:55 Ring theory Algebraic number theory Field theory Commutative algebra Polynomials Algebraic integer Algebraic number field Integral element Ring of integers Minimal polynomial Unique factorization domain Integral domain
2	Introduction to Number Theory Supplement on Gaussian Integers Spring 2016 Last Updated: April 10, 2016 This is a brief supplemental note on the Gaussian integers, written for my Add to Reading List Source URL: davidlowryduda.com Language: English - Date: 2016-04-10 04:24:41 Mathematics Algebra Abstract algebra Ring theory Algebraic number theory Commutative algebra Integer factorization algorithms Greatest common divisor Euclidean algorithm Unique factorization domain Factorization Gaussian integer
3	Jim Coykendall, Richard Hasenauer and Bethany Kubik* (). Generalized Unique Factorization Domains. Preliminary report. We define a generalized unique factorization domain (GUFD) as a do Add to Reading List Source URL: jointmathematicsmeetings.org - Date: 2014-09-05 00:42:25
4	FACTORIZATION IN INTEGRAL DOMAINS PETE L. CLARK Contents Classical Roots – The Fundamental theorem of Arithmetic Basic Terminology Add to Reading List Source URL: math.uga.edu Language: English - Date: 2012-08-04 19:41:41 Commutative algebra Unique factorization domain Integral domain Atomic domain Euclidean domain Ideal class group Ascending chain condition on principal ideals Ring Principal ideal domain Abstract algebra Algebra Ring theory
5	EULER’S TRICK AND SECOND 2-DESCENTS ¨ ¨ OZT ¨ ¨ UN ¨ Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2005-05-14 16:56:15 Algebraic number theory Modular arithmetic Greatest common divisor Quadratic reciprocity Unique factorization domain Algebraic number field Euclidean algorithm Mathematics Abstract algebra Number theory
6	Algebraic Geometry I Fall 2013 Eduard Looijenga Rings are always supposed to possess a unit element 1 and a ring homomorphism will always take unit to unit. We allow that 1 = 0, but in that case we get of course the zer Add to Reading List Source URL: www.staff.science.uu.nl Language: English - Date: 2013-12-26 23:18:31 Irreducible component Ideal Unique factorization domain Prime ideal Ring Algebraic variety Noetherian topological space Zariski topology Polynomial ring Abstract algebra Algebra Ring theory
7	Solutions to Problems Chapter 1 Section[removed]Multiply the equation by an−1 to get a−1 = −(cn−1 + · · · + c1 an−2 + c0 an−1 ) ∈ A. 2. Since A[b] is a subring of B, it is an integral domain. Thus if bz = Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2009-03-20 16:38:59 Number theory Algebraic number theory P-adic number Unique factorization domain Splitting of prime ideals in Galois extensions Μ operator Euclidean algorithm Abstract algebra Mathematics Algebra
8	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
9	Table of Contents Chapter 1 Introduction 1.1 Integral Extensions Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2009-03-16 23:30:52 Quadratic field Ideal class group Dedekind domain Unique factorization domain Extension Prime number Cyclotomic field Algebraic number field Discriminant of an algebraic number field Abstract algebra Algebraic number theory Algebra
10	Algebraic Number Theory Course Notes (Fall[removed]Math 8803, Georgia Tech Matthew Baker E-mail address: [removed] School of Mathematics, Georgia Institute of Technology, Atlanta, GA[removed], USA Add to Reading List Source URL: people.math.gatech.edu Language: English - Date: 2013-01-04 16:28:53 Commutative algebra Algebraic number theory Field theory Algebraic structures Unique factorization domain Ring Integral domain Algebraic number field Euclidean domain Abstract algebra Algebra Ring theory

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