Invariance of Modules Under Automorphisms of Their Envelopes and Cover

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.

List of contents

1. Preliminaries; 2. Modules invariant under automorphisms of envelopes; 3. Structure and properties of modules invariant under automorphisms; 4. Automorphism-invariant modules; 5. Modules coinvariant under automorphisms of their covers; 6. Schröder-Bernstein problem; 7. Automorphism-extendable modules; 8. Automorphism-liftable modules; 9. Open problems; References; Index.

About the author

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.

Product details

• Authors: Pedro A. Guil Asensio, Pedro A. (Universidad de Murcia Guil Asensio, Ashish K. Srivastava, Ashish K. (St Louis University Srivastava, Srivastava Ashish K., Askar Tuganbaev
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 30.04.2021
• EAN: 9781108949538
• ISBN: 978-1-108-94953-8
• No. of pages: 232
• Series: London Mathematical Society Lecture Note Series
• Subjects: Natural sciences, medicine, IT, technology > Mathematics; Algebra, MATHEMATICS / Algebra / General, Mathematics