Turkish Journal of Mathematics
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.
DOI
10.3906/mat-1504-13
Keywords
$c-$Injective modules, Dedekind domains, right V-rings, right GV-rings, WV-rings
First Page
33
Last Page
42
Recommended Citation
DO, T. V, HOANG, H. D, & BAUPRADIST, S (2017). More characterizations of Dedekind domains and V-rings. Turkish Journal of Mathematics 41 (1): 33-42. https://doi.org/10.3906/mat-1504-13
