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.
……