Abstract Let R⋉ M be a trivial extension of a ring R by an RR-bimodule M. We first describe
explicitly the structure of a dual module over R⋉ M. Then we characterize Mittag-Leffler …

Abstract Suppose that T=(A 0 UB) is a formal triangular matrix ring, where A and B are rings
and U is a (B, A)-bimodule. We first study how to construct duality pairs of T-modules using …

PURE PROJECTIVITY AND PURE INJECTIVITY OVER FORMAL TRIANGULAR MATRIX
RINGS Page 1 Journal of Algebra and Its Applications Vol. 11, No. 6 (2012) 1250107 (13 …

ON THE FI–EXTENDING MODULES Kang-Joo Min* 1. Introduction and FI-extending modules
All the rings considered will be associativ Page 1 JOURNAL OF THE CHUNGCHEONG …

Pure projective, pure injective and -injective modules over trivial ring extensions Page 1
International Journal of Algebra and Computation Vol. 33, No. 4 (2023) 699–716 c© World …

Abstract Let Λ _ (0, 0)=\left (A\;\;\;\;\;\;\; _A N_B _B M_A\;\;\;\; B\cr\right) Λ (0 0)=(AANBBMAB)
be a Morita ring, where the bimodule homomorphisms ϕ and ψ are zero. We study the finite …

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 …

Let R be a ring, na fixed non-negative integer and ℱℐ n (ℱ n) the class of all left (right) R-
modules of FP-injective (flat) dimension at most n. A left R-module M (resp., right R-module …

Let R be a ring and β× α (R)(ℝ β× α (R)) the set of all β× α full (row finite) matrices over
R where α and β≥ 1 are two cardinal numbers. A left R-module M is said to be “injective …

An R-module M is called strongly FP-injective if Ext R i (P, M)= 0 for any finitely presented R-
module P and any i> 0. Denoted by SFI the class of all strongly FP-injective R-modules and …