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In: Mathematica Slovaca, vol. 69, no. 2
Somnuek Worawiset - Jörg Koppitz - Somchit Chotchaisthit

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

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Year, pages: 2019, 371 - 380
Keywords: semihypergroups, semigroups, identities, varieties

About article:

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.

How to cite:

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

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Published: 27. 3. 2019