Invariance of Modules under Automorphisms of their Envelopes and Covers
eBook - PDF

Invariance of Modules under Automorphisms of their Envelopes and Covers

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Invariance of Modules under Automorphisms of their Envelopes and Covers

About this book

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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Yes, you can access Invariance of Modules under Automorphisms of their Envelopes and Covers by Ashish K. Srivastava,Askar Tuganbaev,Pedro A. Guil Asensio in PDF and/or ePUB format, as well as other popular books in Mathematics & Algebra. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover
  2. Series information
  3. Title page
  4. Copyright information
  5. Contents
  6. Preface
  7. 1 Preliminaries
  8. 2 Modules Invariant under Automorphisms of Envelopes
  9. 3 Structure and Properties of Modules Invariant under Automorphisms
  10. 4 Automorphism-Invariant Modules
  11. 5 Modules Coinvariant under Automorphisms of their Covers
  12. 6 Schröder–Bernstein Problem
  13. 7 Automorphism-Extendable Modules
  14. 8 Automorphism-Liftable Modules
  15. 9 Open Problems
  16. References
  17. Index