Invariance of Modules under Automorphisms of their Envelopes and Covers (Paperback)

Ashish K. Srivastava

ISBN 10: 1108949533 / ISBN 13: 9781108949538

Verlag: Cambridge University Press, Cambridge, 2021

Beschreibung

Paperback. 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. This is the first book on the topic of study of modules invariant under automorphisms of their envelopes and covers. Containing plentiful examples and open problems, it is a valuable resource for graduate students and researchers in algebra who wish to learn the state of the art in this area of module theory. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Bestandsnummer des Verkäufers 9781108949538

Bibliografische Details

Titel: Invariance of Modules under Automorphisms of...

Verlag: Cambridge University Press, Cambridge

Erscheinungsdatum: 2021

Einband: Paperback

Zustand: new

Über diesen Titel

Inhaltsangabe:

Provides a unified treatment of the study of modules invariant under automorphisms of their envelopes and covers.

Über die Autorinnen und Autoren:

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.