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Principal ideal ring
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11	Sage Reference Manual: Modules Release 6.3 The Sage Development Team August 11, 2014 Add to Reading List Source URL: www.sagemath.org Language: English - Date: 2014-11-16 14:58:22 Module theory Finitely-generated module Module D-module Vector space Structure theorem for finitely generated modules over a principal ideal domain Algebraic structure Endomorphism ring Sage Algebra Abstract algebra Mathematics
12	Chapter 3 Dedekind Domains 3.1 The Deﬁnition and Some Basic Properties Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2008-08-08 00:31:00 Ring theory Ideals Algebraic number theory Fractional ideal Dedekind domain Ideal class group Ideal Principal ideal domain Principal ideal Abstract algebra Algebra Commutative algebra
13	Chapter 6 Appendix The five previous chapters were designed for a year undergraduate course in algebra. In this appendix, enough material is added to form a basic first year graduate course. Two of the main goals are to Add to Reading List Source URL: www.math.miami.edu Language: English - Date: 2004-03-18 17:56:57 Commutative algebra Algebraic structures Unique factorization domain Principal ideal domain Ring Ideal Commutative ring Prime ideal Maximal ideal Abstract algebra Algebra Ring theory
14	Chapter 3 Rings Rings are additive abelian groups with a second operation called multiplication. The connection between the two operations is provided by the distributive law. Assuming the results of Chapter 2, this chap Add to Reading List Source URL: www.math.miami.edu Language: English - Date: 2004-03-18 17:56:54 Algebraic structures Commutative algebra Ring Commutative ring Ideal Polynomial ring Quotient ring Principal ideal Integral domain Abstract algebra Algebra Ring theory
15	CHAPTER I PROJECTIVE MODULES AND VECTOR BUNDLES The basic objects studied in algebraic K-theory are projective modules over a ring, and vector bundles over schemes. In this first chapter we introduce the cast Add to Reading List Source URL: www.math.rutgers.edu Language: English - Date: 2012-09-01 14:36:13 Ring theory Homological algebra Algebraic structures Commutative algebra Projective module Structure theorem for finitely generated modules over a principal ideal domain Module Commutative ring Torsion Abstract algebra Algebra Module theory
16	MATH 615: WINTER 2014 LECTURES ON INTEGRAL CLOSURE, THE BRIANC ¸ ON-SKODA Add to Reading List Source URL: www.math.lsa.umich.edu Language: English - Date: 2014-01-29 13:59:38 Ring theory Integral element Commutative ring Ring Ideal Local ring Principal ideal domain Valuation ring Integral domain Abstract algebra Algebra Commutative algebra
17	26 BOOK REVIEWS Add to Reading List Source URL: www.ams.org Language: English - Date: 2010-01-14 13:28:55 Commutative algebra Dedekind domain Principal ideal Ideal Integral element Emmy Noether Ring Fractional ideal Prime ideal Abstract algebra Algebra Ring theory
18	A Principal Ideal Ring That Is Not a Euclidean Ring Author(s): Jack C. Wilson Reviewed work(s): Add to Reading List Source URL: www.math.buffalo.edu Language: English - Date: 2011-11-08 11:56:09 Commutative algebra Algebraic structures Ring Ideal Principal ideal Euclidean algorithm Integral domain Norm Unique factorization domain Abstract algebra Algebra Ring theory
19	Traces, ideals, and arithmetic means Victor Kaftal† and Gary Weiss Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH[removed] Add to Reading List Source URL: www.pnas.org Language: English - Date: 2011-03-30 06:34:34 Commutative algebra Ring theory Algebraic structures Operator theory Principal ideal Ring Trace class Maximal ideal Finite-rank operator Abstract algebra Algebra Ideals
20	manuscripta math. Add to Reading List Source URL: www.math.clemson.edu Language: English - Date: 2010-10-25 16:43:03 Algebraic number theory Commutative algebra Field theory Algebraic structures Euclidean domain Euclidean algorithm Algebraic number field Coprime Principal ideal domain Abstract algebra Algebra Ring theory

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