Let F the class of fully zero-simple semihypergroups. In this paper, we study the main properties of residual semihypergroup (H + , ⋆) of a semihypergroup (H, ∘) in F. We prove that the quotient semigroup H+/βH+∗ is a completely simple and periodic semigroup. Moreover, we find the necessary and sufficient conditions for (H + , ⋆) to be a torsion group and, in particular, an abelian 2-group.
On Further Properties of Fully Zero-Simple Semihypergroups
De Salvo, MarioPrimo
;Faro, Giovanni LoUltimo
2019-01-01
Abstract
Let F the class of fully zero-simple semihypergroups. In this paper, we study the main properties of residual semihypergroup (H + , ⋆) of a semihypergroup (H, ∘) in F. We prove that the quotient semigroup H+/βH+∗ is a completely simple and periodic semigroup. Moreover, we find the necessary and sufficient conditions for (H + , ⋆) to be a torsion group and, in particular, an abelian 2-group.File in questo prodotto:
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