Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2013, Number 1, Pages 130–134 (Mi basm333)  
Short communications

Semilattice decompositions of trioids

Anatolii V. Zhuchok

Luhansk Taras Shevchenko National University, Oboronna str., 2, Luhansk, 91011, Ukraine
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Abstract: We describe all semilattice congruences on an arbitrary trioid and define the least semilattice congruence on this trioid. We also show that every trioid is a semilattice of $s$-simple subtrioids.
Keywords and phrases: trioid, semilattice congruence, semilattice of subtrioids, dimonoid, semigroup.
Received: 03.03.2013
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Document Type: Article
MSC: 17A30, 20M10
Language: English
Citation: Anatolii V. Zhuchok, “Semilattice decompositions of trioids”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2013, no. 1, 130–134
Citation in format AMSBIB
\Bibitem{Zhu13}
\by Anatolii~V.~Zhuchok
\paper Semilattice decompositions of trioids
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2013
\issue 1
\pages 130--134
\mathnet{http://mi.mathnet.ru/basm333}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3155837}
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