A First Course in Module Theory

商家名称	信用等级	购买信息	订购本书
		A First Course in Module Theory
		A First Course in Module Theory

基本信息·出版社：World Scientific Publishing Company
·页码：250 页
·出版日期：1998年09月
·ISBN：186094096X
·International Standard Book Number：186094096X
·条形码：9781860940965
·EAN：9781860940965
·装帧：精装
·正文语种：英语

内容简介 This work is an introduction to module theory for the reader who knows something about linear algebra and ring theory. The main aim of the book is the derivation of the structure theory of modules over Euclidean domains. This theory is applied to obtain the structure of abelian groups and the rational canonical and Jordan normal forms of matrices. The basic facts about rings and modules are given in full generality so that some further topics can be discussed, including projective modules, and the connection between modules and representation of groups. The book is intended to serve as supplementary reading for the third or fourth year undergraduate who is taking a course in module theory.
目录
Rings and ideals; Euclidean domains; modules and submodules; homomorphisms; quotient modules and cyclic modules; direct sums of modules; torsion and the primary decomposition; presentations; diagonalizing and inverting matrices; fitting ideals; the decomposition of modules; normal forms for matrices; projective modules; hints for the exercises.
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