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Principal ideal domain
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11	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
12	C. Khare and D. Prasad Nagoya Math. J. Vol[removed]), 1–15 ON THE STEINITZ MODULE AND CAPITULATION OF IDEALS Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2006-11-07 20:45:17 Hilbert class field Algebraic number field Ideal class group Dedekind domain Class field theory Principal ideal Vector bundle Projective module Ideal Abstract algebra Algebra Algebraic number theory
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	The Smith Normal Form of a Matrix Patrick J. Morandi February 17, 2005 In this note we will discuss the structure theorem for finitely generated modules over a principal ideal domain from the point of view of matrices. W Add to Reading List Source URL: sierra.nmsu.edu Language: English - Date: 2005-02-17 16:05:46 Matrix theory Matrices Numerical linear algebra Matrix Invertible matrix Diagonal matrix Kernel Smith normal form Ideal Algebra Linear algebra Mathematics
15	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
16	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
17	1 8. QUOTIENT DIVISIBLE MODULES Add to Reading List Source URL: www.math.hawaii.edu Language: English - Date: 2001-04-07 05:40:05 Homological algebra Divisible group Torsion Projective module Module Dedekind domain Group action Injective module Structure theorem for finitely generated modules over a principal ideal domain Abstract algebra Algebra Module theory
18	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
19	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
20	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

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