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Semi-derivation on prime hyperrings | ||
| Journal of Hyperstructures | ||
| دوره 12، شماره 1، 2023، صفحه 18-29 اصل مقاله (305.5 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2023.2510 | ||
| نویسندگان | ||
| Nikhil D. Sonone* ؛ Kishor F. Pawar* | ||
| Department of Mathematics, School of Mathematical Sciences, Kavayitri Bahinabai Chaudhari North Maharashtra University Jalgaon-425 001, India. | ||
| چکیده | ||
| 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≠ 0 on R. Finally, for a generalized semi-derivation F on R, if F(u o v)=0, for all u,v∈ I, then R is commutative. | ||
| کلیدواژه‌ها | ||
| Hyperring؛ hyperideal؛ derivation؛ semi-derivation؛ generalized semi-derivation | ||
| مراجع | ||
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