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Principal ideal
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#	Item
41	1 2. RANK ONE MODULES AND TYPES Add to Reading List Source URL: www.math.hawaii.edu Language: English - Date: 2001-04-07 05:40:24 Finitely-generated module Subring Ideal Torsion Divisible group Structure theorem for finitely generated modules over a principal ideal domain Abstract algebra Algebra Module theory
42	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
43	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
44	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
45	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
46	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
47	FACTORIZATION IN INTEGRAL DOMAINS PETE L. CLARK Add to Reading List Source URL: www.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
48	THE DEVELOPMENT OF THE PRINCIPAL GENUS THEOREM FRANZ LEMMERMEYER Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2002-07-16 19:45:29 Algebraic number theory Quadratic forms Modular arithmetic Quadratic residue Binary quadratic form Quadratic reciprocity Ideal class group Quadratic field Reciprocity law Abstract algebra Mathematics Number theory
49	J.A.Beachy 0.3 Add to Reading List Source URL: www.math.niu.edu Language: English - Date: 2000-08-08 17:43:15 Module theory Abelian group Simple module Cyclic group Module Krull–Schmidt theorem Structure theorem for finitely generated modules over a principal ideal domain Finitely-generated module Simple group Abstract algebra Group theory Algebra
50	Dedekind’s 1871 version of the theory of ideals∗ Translated by Jeremy Avigad Add to Reading List Source URL: www.andrew.cmu.edu Language: English - Date: 2013-10-16 12:37:14 Ring theory Algebraic number theory Commutative algebra Ideals Number theory Ideal class group Richard Dedekind Ideal number Principal ideal Abstract algebra Algebra Mathematics

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