δ-primary subhypermodules on Krasner hyperrings

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

Categories and General Algebraic Structures with Applications, cilt.21, sa.1, ss.153-174, 2024 (ESCI, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 21 Sayı: 1
  • Basım Tarihi: 2024
  • Doi Numarası: 10.48308/cgasa.21.1.153
  • Dergi Adı: Categories and General Algebraic Structures with Applications
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.153-174
  • Anahtar Kelimeler: expansion of subhypermodules, Krasner hyperrings, multiplication hypermodules, δ-primary subhypermodules
  • İstanbul Gelişim Üniversitesi Adresli: Evet

Özet

In this paper, we study commutative Krasner hyperrings with nonzero identity and nonzero unital hypermodules. We introduce a new concept, the δ-primary subhypermodule on Krasner hyperrings. Some characterizations and properties for δ-primary subhypermodules using the expansion function δ are provided. The images and inverse images of δ-primary subhypermodules under homomorphism are investigated. Finally, some characterizations for multiplication hypermodules with some special conditions are provided.