Some Algebraic Classification of Semiregular Hypermodules in Connection to the Radical

Aydın Y., Türkmen B. N.

Journal of Mathematics, cilt.2024, 2024 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2024
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1155/2024/5591710
  • Dergi Adı: Journal of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • İstanbul Gelişim Üniversitesi Adresli: Evet

Özet

We call a Krasner right S-hypermodule A regular if each cyclic subhypermodule of A is a direct summand of A, and we also call A semiregular if every fnitely generated subhypermodule of A lies above a direct summand of A. In this study, some properties of such hypermodules are achieved. Tis paper consists of concentrating over the radical, as well as their connections with (semi) regularity of hypermodules. Finally, the relationship between f-supplement submodule and semiregularity is given.