Invariance of Modules Under Automorphisms of Their Envelopes and Covers

ISBN-13: 9781108949538 / Angielski / Miękka / 2021 / 232 str.

Spain) Guil Asensio Pedro A. (Universidad de Murcia

Opis

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.

Recenzje

'This monograph covers many interesting and important results on these topics that have appeared in recent years.' Xiaoxiang Zhang, Mathematical Reviews/MathSciNet

Spis treści

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.