Email this article Modules Coinvariant Under the Idempotent Endomorphisms of Their Covers
- Authors: Abyzov A.N.1, Le V.T.2, Truong C.Q.2, Tuganbaev A.A.3
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Affiliations:
- Kazan (Volga Region) Federal University
- Department of Mathematics
- National Research University MPEI
- Issue: Vol 60, No 6 (2019)
- Pages: 927-939
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/172701
- DOI: https://doi.org/10.1134/S0037446619060016
- ID: 172701
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Abstract
We study the modules that are coinvariant under the idempotent endomorphisms of their covers. Some generalizations of discrete and continuous modules are introduced and inspected on using the theory of covers and envelopes of modules. By way of application, we consider the cases of flat covers, injective envelopes, and pure injective envelopes.
About the authors
A. N. Abyzov
Kazan (Volga Region) Federal University
Author for correspondence.
Email: Adel.Abyzov@kpfu.ru
Russian Federation, Kazan
V. T. Le
Department of Mathematics
Author for correspondence.
Email: lvthuyet@hueuni.edu.vn
Viet Nam, Hue City
C. Q. Truong
Department of Mathematics
Author for correspondence.
Email: tcquynh@ued.udn.vn
Viet Nam, Danang City
A. A. Tuganbaev
National Research University MPEI
Author for correspondence.
Email: tuganbaev@gmail.com
Russian Federation, Moscow
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