Modules Coinvariant Under the Idempotent Endomorphisms of Their Covers

A. N. Abyzov; V. T. Le; C. Q. Truong; A. A. Tuganbaev

doi:10.1134/S0037446619060016

Modules Coinvariant Under the Idempotent Endomorphisms of Their Covers

作者: Abyzov A.N.¹, Le V.T.², Truong C.Q.², Tuganbaev A.A.³
隶属关系:
1. Kazan (Volga Region) Federal University
2. Department of Mathematics
3. National Research University MPEI
期: 卷 60, 编号 6 (2019)
页面: 927-939
栏目: Article
URL: https://journals.rcsi.science/0037-4466/article/view/172701
DOI: https://doi.org/10.1134/S0037446619060016
ID: 172701

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详细

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.