A. N. Abyzov, T. C. Quynh, A. A. Tuganbaev, “Modules that are invariant with respect to automorphisms and idempotent endomorphisms of their hulls and covers”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2019, Volume 159,Pages <nobr>3

This article is cited in 5 papers

Modules that are invariant with respect to automorphisms and idempotent endomorphisms of their hulls and covers

A. N. Abyzov^a, T. C. Quynh^b, A. A. Tuganbaev^cd

^a Kazan (Volga Region) Federal University
^b The University of Danang
^c National Research University "Moscow Power Engineering Institute"
^d Lomonosov Moscow State University

Abstract: The paper contains both previously known and new results on automorphism-invariant modules, automorphism-coinvariant modules, and modules that are invariant or coinvariant with respect to idempotent endomorphisms of their hulls and their covers, respectively. The main results are given with proofs.

Keywords: quasi-injective module, quasi-projective module, automorphism-invariant module, automorphism-liftable module, automorphism-coinvariant module, hull, cover.

UDC: 512.55

MSC: 16D40, 16D50, 16W20