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Rings, Modules, and the Total (Frontiers in Mathematics) [Paperback]

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Item description for Rings, Modules, and the Total (Frontiers in Mathematics) by Friedrich Kasch...

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 ofthe 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.

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Item Specifications...

Pages   136
Est. Packaging Dimensions:   Length: 9.3" Width: 6.5" Height: 0.4"
Weight:   0.9 lbs.
Binding  Softcover
Release Date   Mar 14, 2005
Publisher   Birkhäuser Basel
ISBN  3764371250  
ISBN13  9783764371258  

Availability  85 units.
Availability accurate as of Apr 27, 2017 12:37.
Usually ships within one to two business days from La Vergne, TN.
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5Books > Subjects > Professional & Technical > Professional Science > Mathematics > Pure Mathematics > Group Theory
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9Books > Subjects > Science > Mathematics > Pure Mathematics > Group Theory

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