On generalizations of strongly ss-discrete modules

Aydın Y., Türkmen B. N., ,

AIMS Mathematics, cilt.11, sa.3, ss.8812-8831, 2026 (SCI-Expanded, Scopus) identifier

  • 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.