Essentially quasi-injective modules and their direct sums

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.

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Publication Details

Journal
Izvestiya Vysshikh Uchebnykh Zavedenii Matematika
Published
2024-08-21
DOI
https://doi.org/10.26907/0021-3446-2024-7-9-23
Citations
1
Primary Topic
Rings, Modules, and Algebras
Type
article
Field-Weighted Citation Impact
1.27
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article

Essentially quasi-injective modules and their direct sums

А. N. Abyzov, Bui Tien Dat
1 citations
Izvestiya Vysshikh Uchebnykh Zavedenii Matematika
Rings, Modules, and Algebras
1.27
article

Essentially quasi-injective modules and their direct sums

А. N. Abyzov, Bui Tien Dat
article en
1 citations

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.

Izvestiya Vysshikh Uchebnykh Zavedenii Matematika(7)
Kazan Federal University (RU)
Openalex Percentile: Top 22%
Rings, Modules, and Algebras
1.27
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Essentially quasi-injective modules and their direct sums — А. N. Abyzov, Bui Tien Dat · Izvestiya Vysshikh Uchebnykh Zavedenii Matematika (2024) | TGRS Research Map | TGRS