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Invariance of Modules under Automorphisms of their Envelopes and Covers

Af: Ashish K. Srivastava, Pedro A. Guil Asensio, Askar Tuganbaev Engelsk Paperback

Invariance of Modules under Automorphisms of their Envelopes and Covers

Af: Ashish K. Srivastava, Pedro A. Guil Asensio, Askar Tuganbaev Engelsk Paperback
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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.
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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.
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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 232
ISBN-13: 9781108949538
Indbinding: Paperback
Udgave:
ISBN-10: 1108949533
Kategori: Algebra
Udg. Dato: 18 mar 2021
Længde: 19mm
Bredde: 228mm
Højde: 152mm
Forlag: Cambridge University Press
Oplagsdato: 18 mar 2021
Forfatter(e): Ashish K. Srivastava, Pedro A. Guil Asensio, Askar Tuganbaev
Forfatter(e) Ashish K. Srivastava, Pedro A. Guil Asensio, Askar Tuganbaev

Kategori Algebra

ISBN-13 9781108949538

Sprog Engelsk

Indbinding Paperback

Sider 232

Udgave

Længde 19mm

Bredde 228mm

Højde 152mm

Udg. Dato 18 mar 2021

Oplagsdato 18 mar 2021

Forlag Cambridge University Press