Email this article Dual automorphism-invariant modules over perfect rings
- Authors: Abyzov A.N.1, Quynh T.C.2, Tai D.D.3
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Affiliations:
- Kazan (Volga Region) Federal University
- Department of Mathematics
- Faculty of Mathematics
- Issue: Vol 58, No 5 (2017)
- Pages: 743-751
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171411
- DOI: https://doi.org/10.1134/S0037446617050019
- ID: 171411
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Abstract
Under study are the dual automorphism-invariant modules and pseudoprojective modules. Some conditions were found under which the dual automorphism-invariant module over a perfect ring is quasiprojective. We also show that if R is a right perfect ring then a pseudoprojective right R-module M is finitely generated if and only if M is a Hopf module.
About the authors
A. N. Abyzov
Kazan (Volga Region) Federal University
Author for correspondence.
Email: Adel.Abyzov@kpfu.ru
Russian Federation, Kazan
T. C. Quynh
Department of Mathematics
Email: Adel.Abyzov@kpfu.ru
Viet Nam, Danang City
D. D. Tai
Faculty of Mathematics
Email: Adel.Abyzov@kpfu.ru
Viet Nam, Vinh City
