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Rings, Modules, and the Total by Friedrich Kasch, Adolf Mader (Paperback, 2004)

About this product

About this product

Product Information

In a nutshell, the book deals with direct decompositions of modules and associated concepts. The central notion of partially invertible homomorphisms, namely those that are factors of a non-zero idempotent, is introduced in a very accessible fashion. Units and regular elements are partially invertible. The total consists of all elements that are not partially invertible. The total contains the radical and the singular and cosingular submodules, but while the total is closed under right and left multiplication, it may not be closed under addition. Cases are discussed where the total is additively closed. The total is particularly suited to deal with the endomorphism ring of the direct sum of modules that all have local endomorphism rings and is applied in this case. Further applications are given for torsion-free Abelian groups.

Product Identifiers

Publisher
Birkhauser Verlag Ag
ISBN-13
9783764371258
eBay Product ID (ePID)
96529653

Product Key Features

Author
Friedrich Kasch, Adolf Mader
Publication Name
Rings, Modules, and the Total
Format
Paperback
Language
English
Subject
Mathematics
Publication Year
2004
Type
Textbook
Number of Pages
138 Pages

Dimensions

Item Height
244mm
Item Width
170mm
Item Weight
420g

Additional Product Features

Title_Author
Friedrich Kasch, Adolf Mader
Series Title
Frontiers in Mathematics
Country/Region of Manufacture
Switzerland

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