How to construct Gorenstein projective modules relative to complete duality pairs over Morita rings
Y Ma, J Lü, H Li, J Hu - Journal of Algebra and Its Applications, 2023 - World Scientific
Y Ma, J Lü, H Li, J Hu
Journal of Algebra and Its Applications, 2023•World ScientificLet Δ= AANBBMAB be a Morita ring with M⊗ AN= 0= N⊗ BM. We first study how to construct
(complete) duality pairs of Δ-modules using (complete) duality pairs of A-modules and B-
modules, generalizing the result of Mao (Commun. Algebra 12 (2020) 5296–5310) about the
duality pairs over a triangular matrix ring. Moreover, we construct Gorenstein projective
modules relative to complete duality pairs of Δ-modules. Finally, we give an application to
Ding projective modules.
(complete) duality pairs of Δ-modules using (complete) duality pairs of A-modules and B-
modules, generalizing the result of Mao (Commun. Algebra 12 (2020) 5296–5310) about the
duality pairs over a triangular matrix ring. Moreover, we construct Gorenstein projective
modules relative to complete duality pairs of Δ-modules. Finally, we give an application to
Ding projective modules.
Let Δ = A ANBBMA B be a Morita ring with . We first study how to construct (complete) duality pairs of -modules using (complete) duality pairs of -modules and -modules, generalizing the result of Mao (Commun. Algebra 12 (2020) 5296–5310) about the duality pairs over a triangular matrix ring. Moreover, we construct Gorenstein projective modules relative to complete duality pairs of -modules. Finally, we give an application to Ding projective modules.
World Scientific以上显示的是最相近的搜索结果。 查看全部搜索结果