In this paper, cyclic $c-$injective modules are introduced and investigated. It is shown that a commutative Noetherian domain is Dedekind if and only if every simple module is cyclic $c-$injective. Finally, it is shown that injectivity, principal injectivity, mininjectivity, and simple injectivity are all equal to characterize right V-rings, right GV-rings, right pV-rings, and WV-rings.
DO, THUAT VAN; HOANG, HAI DINH; and BAUPRADIST, SAMRUAM
"More characterizations of Dedekind domains and V-rings,"
Turkish Journal of Mathematics: Vol. 41:
1, Article 5.
Available at: https://journals.tubitak.gov.tr/math/vol41/iss1/5