Semi-derivation on prime hyperrings
عنوان مقاله: Semi-derivation on prime hyperrings
شناسه ملی مقاله: JR_JHSMS-12-1_002
منتشر شده در در سال 1402
شناسه ملی مقاله: JR_JHSMS-12-1_002
منتشر شده در در سال 1402
مشخصات نویسندگان مقاله:
Nikhil D. Sonone - Department of Mathematics, School of Mathematical Sciences, Kavayitri Bahinabai Chaudhari North Maharashtra University Jalgaon-۴۲۵ ۰۰۱, India.
Kishor F. Pawar - Department of Mathematics, School of Mathematical Sciences, Kavayitri Bahinabai Chaudhari North Maharashtra University Jalgaon-۴۲۵ ۰۰۱, India.
خلاصه مقاله:
Nikhil D. Sonone - Department of Mathematics, School of Mathematical Sciences, Kavayitri Bahinabai Chaudhari North Maharashtra University Jalgaon-۴۲۵ ۰۰۱, India.
Kishor F. Pawar - Department of Mathematics, School of Mathematical Sciences, Kavayitri Bahinabai Chaudhari North Maharashtra University Jalgaon-۴۲۵ ۰۰۱, India.
In this paper, we study the notion of semi-derivation in Krasner hyperring and present some examples of them. We introduce the concept of generalized semi-derivation in Krasner hyperring and present some examples. Then, we derive some properties of semi-derivation on Krasner hyperring which proves the commutativity of a Krasner hyperring. Later we prove if f is a non-zero semi-derivation on Krasner hyperring R, then f۲≠ ۰ on R. Finally, for a generalized semi-derivation F on R, if F(u o v)=۰, for all u,v∈ I, then R is commutative.
کلمات کلیدی: Hyperring, hyperideal, derivation, semi-derivation, generalized semi-derivation
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1902840/