Rings, Modules, and the Total

Friedrich Kasch, Adolf Mader3764371250, 9783764371258, 0817671250

This book offers for the first time a comprehensive and readable exposition of results on the total. Although dealing with recent research, the material is accessible to anyone with a basic knowledge of ring and module theory. A short introduction to torsion-free Abelian groups is included . The subject is by no means exhausted and topics for further research can easily be found.

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Table of contents :
front-matter……Page 1
1General Background……Page 11
2Fundamental notions and properties……Page 19
3Good conditions for the total……Page 49
4The total of modules with LE–decompositions……Page 79
5The total in torsion–free Abelian groups……Page 111
back-matter……Page 141