Ding modules and dimensions over formal triangular matrix rings

L Mao - arXiv preprint arXiv:1912.06968, 2019 - arxiv.org
Let $ T=\biggl (\begin {matrix} A&0\\U&B\end {matrix}\biggr) $ be a formal triangular matrix
ring, where $ A $ and $ B $ are rings and $ U $ is a $(B, A) $-bimodule. We prove that:(1) If …

Ding modules and dimensions over formal triangular matrix rings

L Mao - arXiv e-prints, 2019 - ui.adsabs.harvard.edu
Abstract Let $ T=\biggl (\begin {matrix} A&0\\U&B\end {matrix}\biggr) $ be a formal triangular
matrix ring, where $ A $ and $ B $ are rings and $ U $ is a $(B, A) $-bimodule. We prove …

Ding modules and dimensions over formal triangular matrix rings

L Mao - Rendiconti del Seminario Matematico della Università …, 2022 - numdam.org
Let T= A 0 UB be a formal triangular matrix ring, where A and B are rings and U is a (B, A)-
bimodule. We prove:(1) If UA and BU have finite flat dimensions, then a left T-module M 1 M …

Ding modules and dimensions over formal triangular matrix rings.

L MAO - … del Seminario Matematico della Universita di …, 2022 - search.ebscohost.com
Abstract Let T=... be a formal triangular matrix ring, where A and B are rings and U is a (B, A)-
bimodule. We prove:(1) If UA and BU have finite flat dimensions, then a left T-module (M< …

[引用][C] Ding modules and dimensions over formal triangular matrix rings

L Mao - Rendiconti del Seminario Matematico della Università …, 2022 - ems.press
The origin of Gorenstein homological algebra may date back to the 1960s when Auslander
and Bridger introduced the concept of G-dimension for finitely generated modules over a two …