Weakly Injective Modules and Weakly Projective Modules

Weakly injective and weakly projective modules, which are extensions of the classes of quasi-injective modules and quasi-projective modules, respectively, are studied. Descriptions are obtained for weakly injective and weakly projective Abelian groups as well as for some classes of Abelian groups that are closely related to them.

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Publication Details

Journal
Russian Mathematics
Published
2025-12-01
DOI
https://doi.org/10.3103/s1066369x25700902
Primary Topic
Rings, Modules, and Algebras
Type
article
Field-Weighted Citation Impact
0.00
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article

Weakly Injective Modules and Weakly Projective Modules

T. D. Bui, A. N. Abyzov
Russian Mathematics
Rings, Modules, and Algebras
article

Weakly Injective Modules and Weakly Projective Modules

T. D. Bui, A. N. Abyzov
article en

Abstract

Weakly injective and weakly projective modules, which are extensions of the classes of quasi-injective modules and quasi-projective modules, respectively, are studied. Descriptions are obtained for weakly injective and weakly projective Abelian groups as well as for some classes of Abelian groups that are closely related to them.

Russian MathematicsVol. 69(12)
Can Tho University (VN), Kazan Federal University (RU)
Reduced inequalities
Openalex Percentile: Top 12%
Rings, Modules, and Algebras
DOISourceOpenAlex
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