Year: 2024
Type: article
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 finitely generated subhypermodule of A lies above a direct summand of A. In this study, some properties of such hypermodules are achieved. This 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.
Source: Journal of Mathematics
DOI: 10.1155/2024/5591710
Authors: Yıldız Aydın, Burcu Nişancı Türkmen
Institutions: İstanbul Gelişim Üniversitesi, Amasya Üniversitesi
Language: English
Topic: Rings, Modules, and Algebras
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,060
OpenAlex ID: W4403433287