r-Subhypermodules over Krasner hypermodules

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

Carpathian Mathematical Publications, cilt.17, sa.1, ss.246-254, 2025 (ESCI, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 17 Sayı: 1
  • Basım Tarihi: 2025
  • Doi Numarası: 10.15330/cmp.17.1.246-254
  • Dergi Adı: Carpathian Mathematical Publications
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH, Directory of Open Access Journals
  • Sayfa Sayıları: ss.246-254
  • Anahtar Kelimeler: prime subhypermodule, r-hyperideal, r-subhypermodule
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

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.