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(σ, τ )-Derivation on ordered Γ-semihyperrings | ||
| Journal of Hyperstructures | ||
| دوره 12، شماره 2، 2023، صفحه 228-243 اصل مقاله (178.36 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2023.2801 | ||
| نویسندگان | ||
| Lalita Nerkar* 1؛ Kishor Pawar2 | ||
| 1Kavayitri Bahinabai Chaudhari North Maharashtra University Jalgaon | ||
| 2Kavayitri Bahinabai Chaudhari North Maharashtra University, Jalgaon | ||
| چکیده | ||
| 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 | ||
| کلیدواژه‌ها | ||
| Γ-semihyperring؛ ordered Γ-semihyperring؛ (σ؛ τ)-derivation | ||
| مراجع | ||
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