Items related to Rings, Modules, and the Total (Frontiers in Mathematics)
Synopsis
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.
"synopsis" may belong to another edition of this title.
Review
From the reviews:
“The book is self-contained, well organized and nicely written, making it a very effective introduction to the subject at hand: the total.” (MAA REVIEWS)
Synopsis
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.
"About this title" may belong to another edition of this title.
- PublisherBirkhäuser
- Publication date2004
- ISBN 10 3764371250
- ISBN 13 9783764371258
- BindingPaperback
- LanguageEnglish
- Number of pages148
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Rings, Modules, and the Total (Frontiers in Mathematics)
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Springer, Basel, Birkhäuser Basel, Birkhäuser Jun 2004, 2004
ISBN 10: 3764371250
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 138 pp. Englisch. Seller Inventory # 9783764371258
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Rings, Modules, and the Total
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Accessible to anyone with a basic knowledge of ring and module theoryA short introduction to torsion-free Abelian groups is included Accessible to anyone with a basic knowledge of ring and module theoryA short introdu. Seller Inventory # 5279604
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Rings, Modules, and the Total
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9783764371258
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Rings, Modules, and the Total (Frontiers in Mathematics)
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Taschenbuch. Condition: Neu. Neuware -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.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 152 pp. Englisch. Seller Inventory # 9783764371258
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