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, vol.21, no.1, pp.153-174, 2024 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 21 Issue: 1
  • Publication Date: 2024
  • Doi Number: 10.48308/cgasa.21.1.153
  • Journal Name: Categories and General Algebraic Structures with Applications
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.153-174
  • Keywords: expansion of subhypermodules, Krasner hyperrings, multiplication hypermodules, δ-primary subhypermodules
  • Istanbul Gelisim University Affiliated: Yes

Abstract

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.