Derivations in Hyperrings and Prime Hyperrings

Author(s):

A. Asokkumar

Message:
Abstract:
In this paper we introduce derivations in Krasner hyperrings and derive some basic properties of derivations. We also prove that for a strongly differential hyperring $R$ and for any strongly differential hyperideal $I$ of $R,$ the factor hyperring $R/I$ is a strongly differential hyperring. Further we prove that a map $d: R rightarrow R$ is a derivation of a hyperring $R$ if and only if the induced map $varphi_d$ is a homomorphism.
Keywords:

Canonical hypergroup , hyperring , reduced hyperring , derivation , differential hyperring , differential hyperideal , hderivation

Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:8 Issue: 1, May 2013
Page:
1
https://www.magiran.com/p1111742