δ-primary subhypermodules on Krasner hyperrings
Categories and General Algebraic Structures with Applications, cilt.21, sa.1, ss.153-174, 2024 (ESCI, Scopus)
- 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.