Frontiers in Mathematics

Lifting Modules

Supplements and Projectivity in Module Theory

Authors: Clark, J., Lomp, C., Vanaja, N., Wisbauer, R.

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-3-7643-7573-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.95
price for USA
  • ISBN 978-3-7643-7572-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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.

Table of contents (1 chapters)

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-3-7643-7573-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.95
price for USA
  • ISBN 978-3-7643-7572-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Lifting Modules
Book Subtitle
Supplements and Projectivity in Module Theory
Authors
Series Title
Frontiers in Mathematics
Copyright
2006
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Basel
eBook ISBN
978-3-7643-7573-7
DOI
10.1007/3-7643-7573-6
Softcover ISBN
978-3-7643-7572-0
Series ISSN
1660-8046
Edition Number
1
Number of Pages
XIII, 394
Topics