In a recent paper, Mao has studied min-pure injective modules to investigate the existence
of min-injective covers. A min-pure injective module is one that is injective relative only to …

A module KR is said to be RL-subflat if for every short exact sequence 0→ U→ D→ L→ 0 of
left R-modules, the sequence 0→ K⊗ U→ K⊗ D→ K⊗ L→ 0 is exact. The subflat domains of …

Let N be a left R-module with the endomorphism ring S= End (RN). Given two cardinal
numbers α and β and a matrix A∈ S β× α, N is called flat relative to A in case, for each x∈ lN …