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Linear Algebra over Commutative Rings

Bernard R. McDonald

2020167 citationsDOI

Abstract

This monograph arose from lectures at the University of Oklahoma on topics related to linear algebra over commutative rings. It provides an introduction of matrix theory over commutative rings. The monograph discusses the structure theory of a projective module.

Topics & Concepts

EndomorphismMathematicsCommutative ringPure mathematicsProjective moduleCommutative propertyEndomorphism ringPolynomial ringAlgebra over a fieldRing (chemistry)Commutative algebraProjective testNoncommutative ringChemistryMathematical analysisPolynomialOrganic chemistryAdvanced Topics in AlgebraRings, Modules, and Algebras