… In Section 2, we study duality pairs over formal triangular matrix rings… pair if and only if ( A D
1 C 1 , A C 2 , D 2 ) is a duality pair (… when a duality pair over a formal triangular matrix ring is …

… Ding injective modules over a triangular matrix ring T under the … and has finite projective or
FP-injective dimension”. Our result … or perfect duality pairs over formal triangular matrix rings. …

… be a formal triangular matrix ring, where A and B are rings and U … We first give some
computing formulas of projective, injective, flat and FP-injective dimensions of special left T-modules…

… about the duality pairs over a triangular matrix ring. Moreover… modules relative to
complete duality pairs of ∆-modules. … R-modules and FP-Inj(Rop) denotes the class of FP-injective …

… )=0\) for all finitely presented R-modules F. Note that an absolutely … module is precisely
an FP-injective module [15]. It easily follows that an R-module A is absolutely pure (or FP-injective …

… of modules over the formal triangular matrix ring T from the corresponding classes of … always
means a formal triangular matrix ring in this paper, where A and B are rings and U is a (B,A)-…

… Let A and B be any associative rings and U a (B, A)-bimodule. … ) modules over the formal
triangular matrix ring \(T=\left( \begin{array}{cc} A \ \,&{}\quad 0 \\ U \ &{}\quad B \\ \end{array} \…

… , injective and flat modules over formal triangular matrix rings. Gao … [20] studied pure projective
modules and FP-injective modules over … We assume this to use duality of Artin algebras. …

… , which they called strongly Gorenstein flat and Gorenstein FP-injective modules, … ring with
zero bimodule homomorphisms, which is a generalization of the formal triangular matrix ring ( …

… projective modules over upper triangular matrix Artin algebra … injective modules and
dimensions over formal matrix rings. … of FP-injective modules over formal triangular matrix rings. …