… We prove that, if T is a right coherent ring, U B has finite flat dimension, U A has finite flat or
… Next we consider Gorenstein flat dimensions of modules over formal triangular matrix rings. …

… left module over a triangular matrix ring is Gorenstein projective or Gorenstein injective under
the “Gorenstein … Ding projective dimensions of modules over formal triangular matrix rings. …

… dimension and U A has finite flat dimension, the ring T is left … In Theorem 4.1 we prove that
the triangular matrix ring T is … when the class of all Gorenstein projective modules is a strong …

… In the following we want to characterize the Gorenstein flat dimension of a module over
triangular matrix rings. Using a similar way as we do in the proof of Theorem 2.5, we have the …

… matrix ring. In this paper, several notions in relative Gorenstein algebra over a triangular matrix
ring … -tilting (tilting, semidualizing) over T using the corresponding ones over A and B. We …

… Gorenstein homological modules respect to semicomplete duality pairs over triangular matrix
rings. … AM has finite flat dimension, MB is finitely presented and has finite projective or FP-…

… The Gorenstein projective dimension Gpd A M of the module M is defined by declaring that
Gpd A M ≤ n if, and only if there is an exact sequence 0 → G n → ⋯ → G 1 → G 0 → M → 0 …

… of homological dimensions of modules. … Formal triangular matrix rings play an important
role in ring theory and the representation theory of algebra. Let A and B be any associative rings …

… 3 Homological dimensions over triangular matrix rings … projective and injective dimension
of modules over T and over A and … we consider modules over 1-Gorenstein rings. Recall that a …

… are explicitly described over formal triangular matrix rings. To this … T-module of type FP∞
over a formal triangular matrix ring T. … Mao, Gorenstein flat modules and dimensions over formal …