Téléchargez le livre : Lifting Modules

Lifting Modules

Supplements and Projectivity in Module Theory

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Éditeur :

Birkhäuser


Collection :

Frontiers in Mathematics

Paru le : 2008-08-17



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Description
Extending modules are generalizations of injective modules and, dually, lifting modules generalize projective supplemented modules. There is a certain asymmetry in this duality. While the theory of extending modules is well documented in monographs and text books, the purpose of our monograph is to provide a thorough study of supplements and projectivity conditions needed to investigate classes of modules related to lifting modules. The text begins with an introduction to small submodules, the radical, variations on projectivity, and hollow dimension. The subsequent chapters consider preradicals and torsion theories (in particular related to small modules), decompositions of modules (including the exchange property and local semi-T-nilpotency), supplements in modules (with specific emphasis on semilocal endomorphism rings), finishing with a long chapter on lifting modules, leading up their use in the theory of perfect rings, Harada rings, and
quasi-Frobenius rings. Most of the material in the monograph appears in book form for the first time. The main text is augmented by a plentiful supply of exercises together with comments on further related material and on how the theory has evolved.
Pages
394 pages
Collection
Frontiers in Mathematics
Parution
2008-08-17
Marque
Birkhäuser
EAN papier
9783764375720
EAN PDF
9783764375737
Informations sur l'ebook
Nombre pages copiables
3
Nombre pages imprimables
39
Taille du fichier
2642 Ko
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Prix
58,01 €

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