(s ;t )-Derivation on ordered G-semihyperrings
Publish place: Journal of Hyperstructures، Vol: 12، Issue: 2
Publish Year: 1402
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JHSMS-12-2_003
تاریخ نمایه سازی: 16 بهمن 1402
Abstract:
When a suitable partial ordered relation is attached to a G-semihyperring, it results into an ordered G-semihyperring. Concepts of an ordered G-semihyperring, G-band, idempotent G-semihyperring, totally ordered G-semihyperring, positively ordered G-semihyperring, negatively ordered G-semihyperring are introduced which are useful to study derivation on ordered G-semihyperrings. Derivation is nothing but an additive mapping fulfilling the Leibniz rule. In this paper, we introduce the concept of (s ;t )-derivation which is a generalization of s -derivation and derivation on G-semihyperring and study some properties of (s ;t )-derivation on an ordered G-semihyperring. Some results reflecting different natures of (s ;t )-derivation depending on natures of the endomorphisms are encountered.
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Authors
Lalita Nerkar
Kavayitri Bahinabai Chaudhari North Maharashtra University Jalgaon
Kishor Pawar
Kavayitri Bahinabai Chaudhari North Maharashtra University, Jalgaon