Structure theorem for finitely generated modules over a principal ideal domain

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1Module theory / Linear algebra / Vectors / Algebraic structures / Finitely-generated module / Module / Vector space / D-module / Structure theorem for finitely generated modules over a principal ideal domain / Algebra / Abstract algebra / Mathematics

Sage Reference Manual: Modules Release 6.6.beta0 The Sage Development Team February 21, 2015

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Source URL: sagemath.org

Language: English - Date: 2015-02-21 07:35:21
2Module 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

Sage Reference Manual: Modules Release 6.3 The Sage Development Team August 11, 2014

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Source URL: www.sagemath.org

Language: English - Date: 2014-11-16 14:58:22
3Matrix theory / Matrices / Numerical linear algebra / Matrix / Invertible matrix / Diagonal matrix / Kernel / Smith normal form / Ideal / Algebra / Linear algebra / Mathematics

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

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Source URL: sierra.nmsu.edu

Language: English - Date: 2005-02-17 16:05:46
4Ring 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

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

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Source URL: www.math.rutgers.edu

Language: English - Date: 2012-09-01 14:36:13
5Homological 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

1 8. QUOTIENT DIVISIBLE MODULES

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Source URL: www.math.hawaii.edu

Language: English - Date: 2001-04-07 05:40:05
6Finitely-generated module / Subring / Ideal / Torsion / Divisible group / Structure theorem for finitely generated modules over a principal ideal domain / Abstract algebra / Algebra / Module theory

1 2. RANK ONE MODULES AND TYPES

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Source URL: www.math.hawaii.edu

Language: English - Date: 2001-04-07 05:40:24
7Module 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

J.A.Beachy 0.3

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Source URL: www.math.niu.edu

Language: English - Date: 2000-08-08 17:43:15
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