… matrix ring with R and S rings and R M S an R–S-bimodule. We describe Gorenstein projective
modules … , and Torrecillas [Gorenstein conditions over triangular matrix rings, J. Pure Appl…

… Let A and B be rings and U a (B,A)-bimodule. We denote by T the triangular matrix ring (
A 0 … In the following, we describe Gorenstein flat T -module over a triangular matrix ring. …

… for commutative noetherian local rings. In Theorem 4.1 we prove that the triangular matrix ring
T is left … Secondly, we study when the class of all Gorenstein projective modules is a strong …

… to study Gorenstein homological modules respect to semicomplete duality pairs over triangular
matrix rings. Mao [22] constructed a complete duality pair DT of T-modules using duality …

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

… Gorenstein dimension zero as an R-module such that, setting N = Hom R (M, R), we have a
matrix ring … e ∉ L and eMe ⊂ L, setting Γ = Λ/L ⋉ M, we will show that there exist matrix rings …

… T = ( A 0 U B ) is called a formal triangular matrix ring with usual matrix addition and …
Next we consider Gorenstein flat dimensions of modules over formal triangular matrix rings. …

… totally reflexive R-modules. Over a Gorenstein ring, the totally reflexive modules are precisely
… maximal Cohen–Macaulay modules; hence, in particular, every singular Gorenstein local …

… described the Gorenstein projective modules over a triangular matrix Artin … left module
over a triangular matrix ring is Gorenstein projective or Gorenstein injective under the “Gorenstein …

… Gorenstein projective modules may provide an easier way to obtain the Gorenstein projective
modules. In [… Gorenstein projective modules over upper triangular matrix artin algebras. …