Title of article
Semi-derivation on prime hyperrings
Author/Authors
D. Sonone ، Nikhil Department of Mathematics - School of Mathematical Sciences - Kavayitri Bahinabai Chaudhari North Maharashtra University Jalgaon-425 001 , F. Pawar ، Kishor Department of Mathematics - School of Mathematical Sciences - Kavayitri Bahinabai Chaudhari North Maharashtra University Jalgaon-425 001
From page
18
To page
29
Abstract
In this paper, we study the notion of semi-derivation in Krasner hyperring and present some examples of them.We intro-duce the concept of generalized semi-derivation in Krasner hyper-ring and present some examples.Then, we derive some properties of semi-derivation on Krasner hyperring which proves the commu-tativity of a Krasner hyperring. Later we prove if f is a non-zero semi-derivation on Krasner hyperring R, then f2 ne; 0 on R. Finally, for a generalized semi-derivation F on R, if F(u o v)=0, for all u,v isin; I, then R is commutative.
Keywords
Hyperring , hyperideal , derivation , semi , derivation , generalized semi , derivation
Journal title
Journal of Hyperstructures
Journal title
Journal of Hyperstructures
Record number
2774551
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