Abstract:In this paper, we introduce notions of RLA-local modules and locally
artinian supplemented modules which are proper generalizations as
notions of strongly local modules and ss-supplemented modules,
respectively and we study some properties of these module. In
particular, we give a characterization of semi perfect rings and left
perfect rings.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.