Some Algebraic Classification of Semiregular Hypermodules in Connection to the Radical

Aydın Y., Türkmen B. N.

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

  • Publication Type: Article / Article
  • Volume: 2024
  • Publication Date: 2024
  • Doi Number: 10.1155/2024/5591710
  • Journal Name: Journal of Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Istanbul Gelisim University Affiliated: Yes

Abstract

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.