Absolutely Extendable Property and Stable Elements in Γ-Semihyperrings

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

The concept of Γ-semihyperrings is a generalization of a semiring, a generalization of a Γ-semiring, and a generalization of a semihyperering. In this paper, we define the notions of complex product, extension property and flat Γ-semihyperrings and some of their properties are obtained. In addition, we prove that every flat Γ-semihyperring is absolutely extendable. Finally, we give some characterization of stable elements.

Language:
English
Published:
Journal of Mathematical Extension, Volume:12 Issue: 1, Winter 2018
Pages:
91 to 112
https://www.magiran.com/p2266348