Semi-derivation on prime hyperrings
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 t...
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| Format: | Article |
| Language: | English |
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University of Mohaghegh Ardabili
2023-06-01
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| Series: | Journal of Hyperstructures |
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| Online Access: | https://jhs.uma.ac.ir/article_2510_cb032f41d0e61afd95e8eab26b7e2c46.pdf |
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| author | Nikhil D. Sonone Kishor F. Pawar |
| author_facet | Nikhil D. Sonone Kishor F. Pawar |
| author_sort | Nikhil D. Sonone |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-96ed0a58e97a438595d827dc4ebed512 |
| institution | Kabale University |
| issn | 2251-8436 2322-1666 |
| language | English |
| publishDate | 2023-06-01 |
| publisher | University of Mohaghegh Ardabili |
| record_format | Article |
| series | Journal of Hyperstructures |
| spelling | doaj-art-96ed0a58e97a438595d827dc4ebed5122025-08-20T03:28:48ZengUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-84362322-16662023-06-01121182910.22098/jhs.2023.25102510Semi-derivation on prime hyperringsNikhil D. Sonone0Kishor F. Pawar1Department of Mathematics, School of Mathematical Sciences, Kavayitri Bahinabai Chaudhari North Maharashtra University Jalgaon-425 001, India.Department of Mathematics, School of Mathematical Sciences, Kavayitri Bahinabai Chaudhari North Maharashtra University Jalgaon-425 001, India.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.https://jhs.uma.ac.ir/article_2510_cb032f41d0e61afd95e8eab26b7e2c46.pdfhyperringhyperidealderivationsemi-derivationgeneralized semi-derivation |
| spellingShingle | Nikhil D. Sonone Kishor F. Pawar Semi-derivation on prime hyperrings Journal of Hyperstructures hyperring hyperideal derivation semi-derivation generalized semi-derivation |
| title | Semi-derivation on prime hyperrings |
| title_full | Semi-derivation on prime hyperrings |
| title_fullStr | Semi-derivation on prime hyperrings |
| title_full_unstemmed | Semi-derivation on prime hyperrings |
| title_short | Semi-derivation on prime hyperrings |
| title_sort | semi derivation on prime hyperrings |
| topic | hyperring hyperideal derivation semi-derivation generalized semi-derivation |
| url | https://jhs.uma.ac.ir/article_2510_cb032f41d0e61afd95e8eab26b7e2c46.pdf |
| work_keys_str_mv | AT nikhildsonone semiderivationonprimehyperrings AT kishorfpawar semiderivationonprimehyperrings |