The class of all semigroups related to semihypergroups of order $2$

Rok, strany: 2019, 371 - 380

This paper deals with semihypergroups of order two from the point of view of the model theory. We use basic knowledge to show that there are exactly $17$ non-isomorphic semihypergroups of order two. Each of them corresponds in a canonical way to a semigroup of order three. We classify all of them by generalized identities a concept introduced by Lyapin. In particular, we classify all non-group semigroups of order three by one generalized identity.

ISO 690:

Worawiset, S., Koppitz, J., Chotchaisthit, S. 2019. The class of all semigroups related to semihypergroups of order $2$. In Mathematica Slovaca, vol. 69, no.2, pp. 371-380. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0229

APA:

Worawiset, S., Koppitz, J., Chotchaisthit, S. (2019). The class of all semigroups related to semihypergroups of order $2$. Mathematica Slovaca, 69(2), 371-380. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0229