How to construct Gorenstein projective modules relative to complete duality pairs over Morita rings
Y Ma, J Lü, H Li, J Hu - arXiv preprint arXiv:2203.08673, 2022 - arxiv.org
Let $\Delta=\left (\begin {smallmatrix} A & {_AN_B}\\{_BM_A} & B\\\end {smallmatrix}\right) $
be a Morita ring with $ M\otimes_ {A} N= 0= N\otimes_ {B} M $. We first study how to
construct (complete) duality pairs of $\Delta $-modules using (complete) duality pairs of $ A
$-modules and $ B $-modules, generalizing the result of Mao (Comm. Algebra, 2020, 12:
5296--5310) about the duality pairs over a triangular matrix ring. Moreover, we construct
Gorenstein projective modules relative to complete duality pairs of $\Delta $-modules …
be a Morita ring with $ M\otimes_ {A} N= 0= N\otimes_ {B} M $. We first study how to
construct (complete) duality pairs of $\Delta $-modules using (complete) duality pairs of $ A
$-modules and $ B $-modules, generalizing the result of Mao (Comm. Algebra, 2020, 12:
5296--5310) about the duality pairs over a triangular matrix ring. Moreover, we construct
Gorenstein projective modules relative to complete duality pairs of $\Delta $-modules …
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