Relative FP-injective modules and relative IF rings

F Wang, H Kim - Communications in Algebra, 2021 - Taylor & Francis
Let R be a commutative ring and w be the so-called w-operation on R. Then we introduce
and study two concepts of w-FP-injective modules and w-IF rings. To do so, we use two main …

On w-copure projective modules

RAK Assaad, M Tamekkante, L Mao - Communications in Algebra, 2024 - Taylor & Francis
Let R be a commutative ring. An R-module M is said to be w-split if Ext R 1 (M, N) is a GV-
torsion R-module for all R-modules N. It is known that every projective module is w-split, but …

Absolutely w-Pure Modules and Weak FP-Injective Dimensions

Q Li - Results in Mathematics, 2022 - Springer
Let R be a commutative ring. An R-module M is said to be an absolutely w-pure module if
Ext R 1 (F, M) is GV-torsion for any finitely presented R-module F. In this paper, we further …