Absolutely extendable property and stable elements in $\Gamma$-semihyperrings

Authors

  • S. Ostadhadi- Dehkordi Hormozgan University
  • M. Heidari
  • Bijan Davvaz Yazd University

DOI:

https://doi.org/10.30495/jme.v12i1.583

Abstract

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

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Published

2017-12-24

Issue

Vol. 12

Section

Vol. 12, No. 1, (2018)

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