r-Subhypermodules over Krasner hypermodules

Bolat M., Kaya E., ONAR S., ERSOY B. A., Hila K.

Carpathian Mathematical Publications, vol.17, no.1, pp.246-254, 2025 (ESCI, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 17 Issue: 1
  • Publication Date: 2025
  • Doi Number: 10.15330/cmp.17.1.246-254
  • Journal Name: Carpathian Mathematical Publications
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, zbMATH, Directory of Open Access Journals
  • Page Numbers: pp.246-254
  • Keywords: prime subhypermodule, r-hyperideal, r-subhypermodule
  • Yıldız Technical University Affiliated: Yes

Abstract

In this study, we introduce the notion of r-subhypermodule of an R-hypermodule, where R is a commutative Krasner hyperring. A proper subhypermodule N of M is said to be an r-subhypermodule if a · m ∈ N with annM (a) = 0M implies that m ∈ N for each a ∈ R, m ∈ M. We investigate the relations between the concept of prime subhypermodules and r-subhypermodules. We also give some results about r-subhypermodules.