Turkish Journal of Mathematics
DOI
10.3906/mat-1504-13
Abstract
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.
Keywords
$c-$Injective modules, Dedekind domains, right V-rings, right GV-rings, WV-rings
First Page
33
Last Page
42
Recommended Citation
DO, THUAT VAN; HOANG, HAI DINH; and BAUPRADIST, SAMRUAM
(2017)
"More characterizations of Dedekind domains and V-rings,"
Turkish Journal of Mathematics: Vol. 41:
No.
1, Article 5.
https://doi.org/10.3906/mat-1504-13
Available at:
https://journals.tubitak.gov.tr/math/vol41/iss1/5
