Some Results on Derivations on Γ-(semi)hyperrings
Abstract
An additive mapping with Leibniz rule becomes a derivation. In this paper, we study the notion of derivation on [Formula: see text]-(semi)hyperrings supported by examples. We introduce the notions of types of [Formula: see text]-subsemihyperrings, homomorphism, homoderivation, ker [Formula: see text], and differential ideal on a [Formula: see text]-semihyperring with examples. Moreover, the results interconnecting the [Formula: see text]-subsemihyperrings and ker [Formula: see text] are investigated. Later, we study annihilator of [Formula: see text]-semihyperrings with the demonstration of its properties and some structure preserving theorems are proved.
Fields of Study & Subjects
Fuzzy and Soft Set Theory
Advanced Topics in Algebra
Fixed Point Theorems Analysis
Publication details
- Journal / source
- New Mathematics and Natural Computation
- Publisher
- World Scientific Pub Co Pte Ltd
- Pages
- 1–15
- Publication date
- 24 January 2026
- Language
- EN