Volume 8, Issue 1 (5-2013)
IJMSI 2013, 8(1): 1-13 |
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Asokkumar A. Derivations in Hyperrings and Prime Hyperrings. IJMSI 2013; 8 (1) :1-13
URL: http://ijmsi.ir/article-1-398-en.html
URL: http://ijmsi.ir/article-1-398-en.html
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.
Type of Study: Research paper |
Subject:
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