Strongly Gorenstein Projective Modules Over Trivial Ring Extensions

In this paper, we obtain necessary and sufficient conditions for all strongly complete projective resolutions over trivial ring extension R ⋉ M . As special cases, we get a class of complete projective resolutions over R ⋉ M , from the ones over R . We also obtain necessary and sufficient conditions for all strongly Gorenstein projective modules over trivial ring extension R ⋉ M .

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Publication Details

Journal
Journal of Mathematics
Published
2025-01-01
DOI
https://doi.org/10.1155/jom/6211255
Primary Topic
Algebraic structures and combinatorial models
Type
article
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0.00
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article

Strongly Gorenstein Projective Modules Over Trivial Ring Extensions

Dadi Asefa
Journal of Mathematics
Algebraic structures and combinatorial models
article

Strongly Gorenstein Projective Modules Over Trivial Ring Extensions

Dadi Asefa
article en

Abstract

In this paper, we obtain necessary and sufficient conditions for all strongly complete projective resolutions over trivial ring extension R ⋉ M . As special cases, we get a class of complete projective resolutions over R ⋉ M , from the ones over R . We also obtain necessary and sufficient conditions for all strongly Gorenstein projective modules over trivial ring extension R ⋉ M .

Journal of MathematicsVol. 2025(1)
Ambo University (ET)
Openalex Percentile: Top 85%
Algebraic structures and combinatorial models
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Strongly Gorenstein Projective Modules Over Trivial Ring Extensions — Dadi Asefa · Journal of Mathematics (2025) | TGRS Research Map | TGRS