Suppose that $ T=\left (\begin {smallmatrix} A&0\\U&B\end {smallmatrix}\right) $ is a formal
triangular matrix ring, where $ A $ and $ B $ are rings and $ U $ is a $(B, A) $-bimodule. Let …

In this paper, we study retractable modules and coretractable modules over a formal
triangular matrix ring T=\left T= A 0 MB, where A and B are rings and M is a (B, A)-bimodule …

Let A and B be rings and U a (B, A)-bimodule. Under some conditions, Ω Ω-Gorenstein
module over the formal triangular matrix ring T=\left (A\,\quad 0\U\quad B\) T= A 0 UB is …

1 Introduction Page 1 Bull. Math. Soc. Sci. Math. Roumanie Tome 63 (111), No. 3, 2020, 271–285
Strongly Gorenstein projective, injective and flat modules over formal triangular matrix rings by …

Let $ A $ and $ B $ be rings and $ U $ be a $(B, A) $-bimodule. If $ _BU $ has finite flat
dimension, $ U_A $ has finite flat dimension and $\tpa {U}{C} $ is a cotorsion left $ B …

ON MODULES OVER FORMAL TRIANGULAR MATRIX RINGS | East West Math Skip to main
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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 …

Abstract Suppose that T=(A 0 UB) is a formal triangular matrix ring, where A and B are rings
and U is a (B, A)-bimodule. We first study how to construct duality pairs of T-modules using …

This paper investigates relative ring theoretical properties in the context of formal triangular
matrix rings. The first aim is to study the semiregularity of formal triangular matrix rings …

Let A and B be rings and T=(AM 0 B) with M an AB-bimodule. We first construct a semi-
complete duality pair DT of over T using duality pairs over A and B respectively. Then we …