Invariance of modules under automorphisms of their envelopes and covers:
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 ho...
Gespeichert in:
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| Weitere beteiligte Personen: | , |
| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2021
|
| Schriftenreihe: | London Mathematical Society lecture note series
466 |
| Links: | https://doi.org/10.1017/9781108954563 |
| Zusammenfassung: | 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. |
| Umfang: | 1 Online-Ressource (ix, 223 Seiten) |
| ISBN: | 9781108954563 |
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| 100 | 1 | |a Srivastava, Ashish K. | |
| 245 | 1 | 0 | |a Invariance of modules under automorphisms of their envelopes and covers |c Ashish K. Srivastava, Askar Tuganbaev, Pedro A. Guil Asensio |
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| 490 | 1 | |a London Mathematical Society lecture note series |v 466 | |
| 520 | |a 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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| spelling | Srivastava, Ashish K. Invariance of modules under automorphisms of their envelopes and covers Ashish K. Srivastava, Askar Tuganbaev, Pedro A. Guil Asensio Cambridge Cambridge University Press 2021 1 Online-Ressource (ix, 223 Seiten) txt c cr London Mathematical Society lecture note series 466 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. Guil Asensio, Pedro A. 1964- Tuganbaev, Askar A. Erscheint auch als Druck-Ausgabe 9781108949538 |
| spellingShingle | Srivastava, Ashish K. Invariance of modules under automorphisms of their envelopes and covers |
| title | Invariance of modules under automorphisms of their envelopes and covers |
| title_auth | Invariance of modules under automorphisms of their envelopes and covers |
| title_exact_search | Invariance of modules under automorphisms of their envelopes and covers |
| title_full | Invariance of modules under automorphisms of their envelopes and covers Ashish K. Srivastava, Askar Tuganbaev, Pedro A. Guil Asensio |
| title_fullStr | Invariance of modules under automorphisms of their envelopes and covers Ashish K. Srivastava, Askar Tuganbaev, Pedro A. Guil Asensio |
| title_full_unstemmed | Invariance of modules under automorphisms of their envelopes and covers Ashish K. Srivastava, Askar Tuganbaev, Pedro A. Guil Asensio |
| title_short | Invariance of modules under automorphisms of their envelopes and covers |
| title_sort | invariance of modules under automorphisms of their envelopes and covers |
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