Abstract
Let \(\Delta _{(0,0)} =\left( {\begin{matrix} A&{}_{A}N_{B} \\ _{B}M_{A} &{} B\end{matrix}}\right) \) be a Morita ring such that the bimodule homomorphisms are zero. In this paper, we give sufficient conditions for a \(\Delta _{(0,0)}\)-module (X, Y, f, g) to be strongly Gorenstein-projective. Moreover, we describe all strongly Gorenstein-projective modules over the \(2\times 2\) matrix algebra \(\textrm{M}_2(A)\) over A.
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Asefa, D. Strongly Gorenstein-projective modules over rings of Morita contexts. Beitr Algebra Geom 65, 43–57 (2024). https://doi.org/10.1007/s13366-022-00675-7
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DOI: https://doi.org/10.1007/s13366-022-00675-7
Keywords
- Strongly Gorenstein-projective modules
- Morita rings
- Strongly complete projective resolutions
- Gorenstein-projective modules