Short communications

Semilattice decompositions of trioids

Anatolii V. Zhuchok

Luhansk Taras Shevchenko National University, Oboronna str., 2, Luhansk, 91011, Ukraine

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.

MSC: 17A30, 20M10

Received: 03.03.2013

Language: English

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