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Strongly Gorenstein Projective Modules Over Trivial Ring Extensions

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  • Dadi Asefa

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.

Suggested Citation

  • Dadi Asefa, 2025. "Strongly Gorenstein Projective Modules Over Trivial Ring Extensions," Journal of Mathematics, John Wiley & Sons, vol. 2025(1).
    • Handle: RePEc:wly:jjmath:v:2025:y:2025:i:1:n:6211255
    DOI: 10.1155/jom/6211255
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    References listed on IDEAS

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    1. Dadi Asefa & Francesca Tartarone, 2021. "Gorenstein-Projective Modules over Upper Triangular Matrix Artin Algebras," Journal of Mathematics, Hindawi, vol. 2021, pages 1-8, November.
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