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Principal ideal ring
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1	Sage Reference Manual: General Rings, Ideals, and Morphisms Release 6.7 The Sage Development Team Add to Reading List Source URL: doc.sagemath.org Language: English - Date: 2015-06-24 05:21:38 Ring theory Algebraic structures Dedekind domain Ring Commutative ring Krull dimension Principal ideal domain Principal ideal Polynomial ring Abstract algebra Algebra Commutative algebra
2	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
3	Chapter 6 Dedekind Schemes In this chapter we introduce the main protagonists of the following two chapters, namely Dedekind schemes. These will be schemes characterised by certain special properties that are common to Add to Reading List Source URL: www.renyi.hu Language: English - Date: 2007-09-28 04:05:10 Ring theory Dedekind domain Integrally closed domain Integral element Discrete valuation ring Principal ideal domain Valuation ring Finitely-generated module Local ring Abstract algebra Algebra Commutative algebra
4	THE EUCLIDEAN ALGORITHM IN ALGEBRAIC NUMBER FIELDS FRANZ LEMMERMEYER Abstract. This article, which is an update of a version published 1995 in Expo. Math., intends to survey what is known about Euclidean number fields; Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2004-02-13 18:30:23 Ring theory Commutative algebra Euclidean algorithm Linear algebra Greatest common divisor Norm Principal ideal domain Euclidean domain Abstract algebra Algebra Mathematics
5	D. Eisenbud and E. G. Evans, Jr. Nagoya Math. J. Vol[removed]), 41-53 A GENERALIZED PRINCIPAL IDEAL THEOREM DAVID EISENBUD* AND E. GRAHAM EVANS, JR.* Add to Reading List Source URL: www.msri.org Language: English - Date: 2005-11-04 13:11:39 Ring theory Module theory Prime ideals Ideals Finitely-generated module Depth Polynomial ring Noetherian ring Commutative ring Abstract algebra Algebra Commutative algebra
6	JOURNAL 16, [removed]OF ALGEBRA Add to Reading List Source URL: www.msri.org Language: English - Date: 2005-09-02 18:47:57 Commutative algebra Ideals Algebraic structures Module theory Serial module Principal ideal ring Idempotence Noetherian ring Finitely-generated module Abstract algebra Algebra Ring theory
7	JOURNAL OFALGEBRA 16,[removed]Modules Over Dedekind DAVID Add to Reading List Source URL: www.msri.org Language: English - Date: 2005-09-02 18:46:24 Ring theory Commutative algebra Algebraic structures Homological algebra Dedekind domain Finitely-generated module Projective module Ideal Principal ideal ring Abstract algebra Algebra Module theory
8	Séminaire Dubreil. Algèbre DAVID E ISENBUD Notes on an extension of Krull’s principal ideal theorem Séminaire Dubreil. Algèbre, tome 28, no[removed]), exp. no 20, p. 1-4. Add to Reading List Source URL: www.msri.org Language: English - Date: 2007-03-15 02:15:01 Ring theory Algebraic structures Prime ideals Ideals Maximal ideal Local ring Depth Ring Spectrum of a ring Abstract algebra Algebra Commutative algebra
9	JOURNAL 17, [removed]OF ALGEBRA Add to Reading List Source URL: www.msri.org Language: English - Date: 2005-09-09 17:12:05 Ring theory Serial module Projective module Simple module Finitely-generated module Module Principal ideal ring Injective module Pure submodule Abstract algebra Algebra Module theory
10	PACIFIC JOURNAL OF MATHEMATICS Vol. 36, No. 1, 1971 THE STRUCTURE OF SERIAL RINGS DAVID EISENBUD AND PHILLIP GRIFFITH Add to Reading List Source URL: www.msri.org Language: English - Date: 2005-09-09 17:17:26 Ring theory Serial module Projective module Simple module Principal ideal ring Module Indecomposable module Local ring Jacobson radical Abstract algebra Algebra Module theory

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