On generalizations of strongly ss-discrete modules
AIMS Mathematics, cilt.11, sa.3, ss.8812-8831, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 11 Sayı: 3
- Basım Tarihi: 2026
- Doi Numarası: 10.3934/math.2026362
- Dergi Adı: AIMS Mathematics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Directory of Open Access Journals
- Sayfa Sayıları: ss.8812-8831
- Anahtar Kelimeler: discrete modules, LA-discrete modules, LA-lifting modules, lifting modules, locally Artinian modules, locally Artinian supplemented modules, perfect rings, semiperfect rings
- İstanbul Gelişim Üniversitesi Adresli: Evet
Özet
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.