Essentially Quasi-Injective Modules and Their Direct Sums

Essentially Quasi-Injective Modules and Their Direct Sums

The 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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Veröffentlicht in:Russian mathematics 2024-07, Vol.68 (7), p.1-13
Hauptverfasser: Abyzov, A. N., Dat, Bui Tien
Format: Artikel
Sprache:eng
Schlagworte:
Group theory
Mathematics
Mathematics and Statistics
Modules
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Zusammenfassung:The 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.
ISSN:1066-369X
1934-810X
DOI:10.3103/S1066369X24700476