We establish connections between (co, weak) silting modules over a ring R and (co, weak)
silting modules over a trivial extension of R. As applications, we describe how to construct …

Let T be a right exact functor from an abelian category ℬ into another abelian category A.
Then there exists a functor p from the product category A× ℬ to the comma category ((T↓ …

Let Δ= AANBBMAB be a Morita ring with M⊗ AN= 0= N⊗ BM. We first study how to construct
(complete) duality pairs of Δ-modules using (complete) duality pairs of A-modules and B …

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 $ 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 …

Let A and B be rings, U a (B, A)-bimodule, and T= A 0 UB the triangular matrix ring. In this
paper, several notions in relative Gorenstein algebra over a triangular matrix ring are …

It is well known that the concept of cotilting modules generalizes injective cogenerators and
in turn, the concept of cosilting modules generalizes cotilting modules. In this paper, we …

In this paper, we study the cotorsion dimensions and cotorsion triples in the recollements of
abelian categories. The main results are that recollements induce new (resp. complete …

Abstract Let R⋉ M be a trivial extension of a ring R by an RR-bimodule M. We first give some
homological formulas over R⋉ M. Then we investigate how to construct (hereditary …

Let A and B be Artin algebras and let M be an (A, B)-bimodule with MA and MB finitely
generated. In this paper, we construct tilting pairs of subcategories and Wakamatsu tilting …