Iranian Journal of Mathematical Sciences and Informatics
مجله علوم ریاضی و انفورماتیک
IJMSI
Basic Sciences
http://ijmsi.ir
1
admin
1735-4463
2008-9473
8
10.52547/ijmsi
14
8888
13
en
jalali
1392
2
1
gregorian
2013
5
1
8
1
online
1
fulltext
en
Derivations in Hyperrings and Prime Hyperrings
عمومى
General
پژوهشي
Research paper
<p>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.</p>
Canonical hypergroup, hyperring, reduced hyperring, derivation, differential hyperring, differential hyperideal, hderivation.
1
13
http://ijmsi.ir/browse.php?a_code=A-10-1-121&slc_lang=en&sid=1
A.
Asokkumar
`10031947532846002221`

10031947532846002221
Yes