A. N. Abyzov, V. T. Le, C. Q. Truong, A. A. Tuganbaev, “Modules coinvariant under the idempotent endomorphisms of their covers”, Sibirsk. Mat. Zh., 2019, Volume 60, Number 6,Pages <nobr>1191

This article is cited in 7 papers

Modules coinvariant under the idempotent endomorphisms of their covers

A. N. Abyzov^a, V. T. Le^b, C. Q. Truong^c, A. A. Tuganbaev^d

^a Kazan (Volga Region) Federal University
^b Department of Mathematics, College of Education, Hue University, 34 Le Loi, Hue city, Vietnam
^c Department of Mathematics, The University of Danang, University of Science and Education, 459 Ton Duc Thang, Danang city, Vietnam
^d National Research University "Moscow Power Engineering Institute"

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.

UDC: 512.553

Received: 06.11.2018
Revised: 06.11.2018
Accepted: 12.03.2019

DOI: 10.33048/smzh.2019.60.601