Breakable Semihypergroups

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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Veröffentlicht in:Symmetry (Basel) 2019-01, Vol.11 (1), p.100
Hauptverfasser: Heidari, Dariush, Cristea, Irina
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Decomposition
Semigroups
Theorems
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Beschreibung
Zusammenfassung: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
2073-8994
DOI:10.3390/sym11010100