Relations Between Derivations and Homomorphisms of Ordered Hyperrings

Ruiqi Cai, Mashaer Alsaeedi, Maryam Akhoundi

Research output: Contribution to journalArticlepeer-review

Abstract

The present study investigates the relation between derivations and hyperideals on ordered hyperrings with no zero divisors. Also, we identify some results for the ordered hyperrings induced by the homomorphism of the ordered hyperrings by derivations. The present work explores some aspects of derivations in ordered hyperrings. Also, we establish some results in connection with homomorphisms and hyperideals. Furthermore, we describe prime hyperideals associated to a derivation d on an ordered hyperring T and derive several results about homomorphisms and derivations on ordered hyperrings.

Original languageEnglish
Pages (from-to)604-615
Number of pages12
JournalEuropean Journal of Pure and Applied Mathematics
Volume17
Issue number2
DOIs
StatePublished - Apr 2024

Keywords

  • Krasner hyperring
  • derivation
  • homomorphism
  • hyperideal
  • ordered hyperring

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