Breakable Semihypergroups

In this paper, we introduce and characterize the breakable semihypergroups, a natural generalization of breakable semigroups, defined by a simple property: every nonempty subset of them is a subsemihypergroup. Then, we present and discuss on an extended version of Rédei’s theorem for semi-symmetric...

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Bibliographic Details
Main Authors: Dariush Heidari, Irina Cristea
Format: Article
Language:English
Published: MDPI AG 2019-01-01
Series:Symmetry
Subjects:
Online Access:http://www.mdpi.com/2073-8994/11/1/100
Description
Summary:In this paper, we introduce and characterize the breakable semihypergroups, a natural generalization of breakable semigroups, defined by a simple property: every nonempty subset of them is a subsemihypergroup. Then, we present and discuss on an extended version of Rédei’s theorem for semi-symmetric breakable semihypergroups, proposing a different proof that improves also the theorem in the classical case of breakable semigroups.
ISSN:2073-8994