Invariance of Modules under Automorphisms of their Envelopes and Covers (London Mathematical Society Lecture Note Series, Series Number 466) - Softcover

Book 384 of 387: London Mathematical Society Lecture Notes

Srivastava, Ashish K.

 
9781108949538: Invariance of Modules under Automorphisms of their Envelopes and Covers (London Mathematical Society Lecture Note Series, Series Number 466)
Softcover
ISBN 10: 1108949533 ISBN 13: 9781108949538
Publisher: Cambridge University Press, 2021

Synopsis

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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About the Authors

Ashish K. Srivastava is Professor of Mathematics at Saint Louis University. He has published more than 40 research papers and co-authored the monograph Cyclic Modules and the Structure of Rings (2012).

Askar Tuganbaev is Professor at the National Research University 'Moscow Power Engineering Institute' and Lomonosov Moscow State University. He is the author of 10 monographs, including Arithmetical Rings and Endomorphisms (2019), Rings Close to Regular (2002) and Laurent Series Rings and Related Rings (2020).

Pedro A. Guil Asensio is Assistant Professor at the University of Murcia in Spain. He has published more than 60 research papers in noncommutative algebra.

"About this title" may belong to another edition of this title.

Publisher
Cambridge University Press
Publication date
2021
Language
English
ISBN 10 
1108949533
ISBN 13 
9781108949538
Binding
Paperback
Edition number
1
Number of pages
232