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 first give some …

Homological dimensions of special modules over formal triangular matrix rings Page 1
Journal of Algebra and Its Applications Vol. 21, No. 7 (2022) 2250146 (14 pages) c© World …

Let U be a (B, A)-bimodule, A and B be rings, and be a formal triangular matrix ring. In this
paper, we characterize the structure of relative Ding projective modules over T under some …

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 …

Abstract 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 that, if T is a right coherent ring, UB has finite flat dimension, UA …

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 …

ON MODULES OVER FORMAL TRIANGULAR MATRIX RINGS | East West Math Skip to main
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Generalized Module Homomorphisms of Triangular Matrix Rings of Order Three Open Science
Research Excellence Conferences Disciplines Committees Publications Abstracts Periodicals …

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 …

In this connection, we investigate the case when the left-hand or the righthand side equality
holds under the condition that SM is flat. In [7], Zaks shows that the injective dimension of an …