On generalizations of strongly ss-discrete modules
AIMS Mathematics, vol.11, no.3, pp.8812-8831, 2026 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 11 Issue: 3
- Publication Date: 2026
- Doi Number: 10.3934/math.2026362
- Journal Name: AIMS Mathematics
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Directory of Open Access Journals
- Page Numbers: pp.8812-8831
- Keywords: discrete modules, LA-discrete modules, LA-lifting modules, lifting modules, locally Artinian modules, locally Artinian supplemented modules, perfect rings, semiperfect rings
- Istanbul Gelisim University Affiliated: Yes
Abstract
In this paper, we introduced the notions of LA-lifting modules and LA-discrete modules, which are strong concepts of lifting modules and discrete modules, respectively. We provided some conditions of these modules and generalizations of ss-lifting modules and ss-discrete modules, respectively. Finally, we characterized LA-lifting modules via left perfect rings and strongly LA-discrete rings by using the notion of semiperfect rings.