Gorenstein and duality pair over triangular matrix rings

H Liu, R Zhu - arXiv preprint arXiv:2202.13148, 2022 - arxiv.org
Let $ A $, $ B $ be two rings and $ T=\left (\begin {smallmatrix} A & M\\0 & B\\\end
{smallmatrix}\right) $ with $ M $ an $ A $-$ B $-bimodule. We first construct a semi-complete …

[引用][C] Generalized Gorenstein modules with respect to duality pairs over triangular matrix rings

R Zhu, H Liu - International Journal of Algebra and Computation, 2024 - World Scientific
Let A and B be rings and T=(AM 0 B) with M an AB-bimodule. We first construct a semi-
complete duality pair 𝒟 T over T using duality pairs over A and B, respectively. Then we …