RUS  ENG
Full version
JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive
Izv. Vyssh. Uchebn. Zaved. Mat., 2024 Number 7, Pages 9–23 (Mi ivm9994)
This article is cited in 1 paper

Essentially quasi-injective modules and their direct sums

A. N. Abyzov, Bui Tien Dat

Kazan Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia

Abstract: Conditions are studied under which an arbitrary direct sum of essentially (quasi-) injective modules is an essentially (quasi-) injective module. A description of essentially quasi-injective Abelian groups is obtained.

Keywords: essentially quasi-injective module, essentially endomorphism-extendable module, ADS-module, essentially Noetherian module.

UDC: 512.55

Received: 15.08.2023
Revised: 15.09.2023
Accepted: 26.09.2023

DOI: 10.26907/0021-3446-2024-7-9-23


 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2024, 68:7, 1–13

© Steklov Math. Inst. of RAS, 2025