(σ, τ )-Derivation on ordered Γ-semihyperrings
When a suitable partial ordered relation is attached to a Γ-semihyperring, it results into an ordered Γ-semihyperring. Concepts of an ordered Γ-semihyperring, Γ-band, idempotent Γ-semihyperring, totally or-dered Γ-semihyperring, positively ordered Γ-semihyperring, negatively or-dered Γ-semihyperring...
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| Format: | Article |
| Language: | English |
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University of Mohaghegh Ardabili
2023-12-01
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| Series: | Journal of Hyperstructures |
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| Online Access: | https://jhs.uma.ac.ir/article_2801_81aab212e5044301b57005b6459523fe.pdf |
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| author | Lalita Nerkar Kishor Pawar |
| author_facet | Lalita Nerkar Kishor Pawar |
| author_sort | Lalita Nerkar |
| collection | DOAJ |
| description | When a suitable partial ordered relation is attached to a Γ-semihyperring, it results into an ordered Γ-semihyperring. Concepts of an ordered Γ-semihyperring, Γ-band, idempotent Γ-semihyperring, totally or-dered Γ-semihyperring, positively ordered Γ-semihyperring, negatively or-dered Γ-semihyperring are introduced which are useful to study derivation on ordered Γ-semihyperrings. Derivation is nothing but an additive map-ping fulfilling the Leibniz rule. In this paper, we introduce the concept of (σ, τ)-derivation which is a generalization of σ-derivation and deriva-tion on Γ-semihyperring and study some properties of (σ, τ)-derivation on an ordered Γ-semihyperring. Some results reflecting different natures of (σ, τ)-derivation depending on natures of the endomorphisms are encoun-tere |
| format | Article |
| id | doaj-art-41b53e40ee2c409599f33433facc77bd |
| institution | Kabale University |
| issn | 2251-8436 2322-1666 |
| language | English |
| publishDate | 2023-12-01 |
| publisher | University of Mohaghegh Ardabili |
| record_format | Article |
| series | Journal of Hyperstructures |
| spelling | doaj-art-41b53e40ee2c409599f33433facc77bd2025-08-20T03:50:06ZengUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-84362322-16662023-12-0112222824310.22098/jhs.2023.28012801(σ, τ )-Derivation on ordered Γ-semihyperringsLalita Nerkar0Kishor Pawar1Kavayitri Bahinabai Chaudhari North Maharashtra University JalgaonKavayitri Bahinabai Chaudhari North Maharashtra University, JalgaonWhen a suitable partial ordered relation is attached to a Γ-semihyperring, it results into an ordered Γ-semihyperring. Concepts of an ordered Γ-semihyperring, Γ-band, idempotent Γ-semihyperring, totally or-dered Γ-semihyperring, positively ordered Γ-semihyperring, negatively or-dered Γ-semihyperring are introduced which are useful to study derivation on ordered Γ-semihyperrings. Derivation is nothing but an additive map-ping fulfilling the Leibniz rule. In this paper, we introduce the concept of (σ, τ)-derivation which is a generalization of σ-derivation and deriva-tion on Γ-semihyperring and study some properties of (σ, τ)-derivation on an ordered Γ-semihyperring. Some results reflecting different natures of (σ, τ)-derivation depending on natures of the endomorphisms are encoun-terehttps://jhs.uma.ac.ir/article_2801_81aab212e5044301b57005b6459523fe.pdfγ-semihyperringordered γ-semihyperring(στ)-derivation |
| spellingShingle | Lalita Nerkar Kishor Pawar (σ, τ )-Derivation on ordered Γ-semihyperrings Journal of Hyperstructures γ-semihyperring ordered γ-semihyperring (σ τ)-derivation |
| title | (σ, τ )-Derivation on ordered Γ-semihyperrings |
| title_full | (σ, τ )-Derivation on ordered Γ-semihyperrings |
| title_fullStr | (σ, τ )-Derivation on ordered Γ-semihyperrings |
| title_full_unstemmed | (σ, τ )-Derivation on ordered Γ-semihyperrings |
| title_short | (σ, τ )-Derivation on ordered Γ-semihyperrings |
| title_sort | σ τ derivation on ordered γ semihyperrings |
| topic | γ-semihyperring ordered γ-semihyperring (σ τ)-derivation |
| url | https://jhs.uma.ac.ir/article_2801_81aab212e5044301b57005b6459523fe.pdf |
| work_keys_str_mv | AT lalitanerkar stderivationonorderedgsemihyperrings AT kishorpawar stderivationonorderedgsemihyperrings |