Invariance of Modules under Automorphisms of their Envelopes and Covers

Invariance of Modules under Automorphisms of their Envelopes and Covers

AngličtinaMäkká väzba
Srivastava Ashish K.
Cambridge University Press
EAN: 9781108949538
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Podrobné informácie

The theory of invariance of modules under automorphisms of their envelopes and covers has opened up a whole new direction in the study of module theory. It offers a new perspective on generalizations of injective, pure-injective and flat-cotorsion modules beyond relaxing conditions on liftings of homomorphisms. This has set off a flurry of work in the area, with hundreds of papers using the theory appearing in the last decade. This book gives the first unified treatment of the topic. The authors are real experts in the area, having played a major part in the breakthrough of this new theory and its subsequent applications. The first chapter introduces the basics of ring and module theory needed for the following sections, making it self-contained and suitable for graduate students. The authors go on to develop and explain their tools, enabling researchers to employ them, extend and simplify known results in the literature and to solve longstanding problems in module theory, many of which are discussed at the end of the book.
EAN 9781108949538
ISBN 1108949533
Typ produktu Mäkká väzba
Vydavateľ Cambridge University Press
Dátum vydania 18. marca 2021
Stránky 232
Jazyk English
Rozmery 228 x 152 x 13
Krajina United Kingdom
Čitatelia Professional & Scholarly
Autori Guil Asensio, Pedro A.; Srivastava Ashish K.; Tuganbaev, Askar
Ilustrácie Worked examples or Exercises
Séria London Mathematical Society Lecture Note Series
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