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Acts over semilattices

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Abstract

In this paper, we consider acts over commutative semigroups of idempotents (semilattices). We prove that an act over a semilattice is a partially ordered set. We obtain a full description of acts over a finite chain and a necessary condition for a partially ordered set to be an act over some semilattice.

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References

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Authors and Affiliations

  1. Moscow Institute of Electronic Engineering, Moscow, Russia

    M. Yu. Maksimovskiy

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  1. M. Yu. Maksimovskiy
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Correspondence to M. Yu. Maksimovskiy.

Additional information

Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 14, No. 7, pp. 151–156, 2008.

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Maksimovskiy, M.Y. Acts over semilattices. J Math Sci 164, 255–259 (2010). https://doi.org/10.1007/s10958-009-9726-2

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  • DOI: https://doi.org/10.1007/s10958-009-9726-2

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