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JOURNALS // Trudy Instituta Matematiki i Mekhaniki UrO RAN // Archive
Trudy Inst. Mat. i Mekh. UrO RAN, 2014 Volume 20, Number 1, Pages 215–220 (Mi timm1043)
This article is cited in 1 paper

On the pseudovariety generated by all finite monoids satisfying $\mathscr{R=H}$

T. V. Pervukhina

Institute of Mathematics and Computer Science, Ural Federal University

Abstract: We consider the pseudovariety generated by all finite monoids on which Green's relations $\mathscr R$ and $\mathscr H$ coincide. We find a new algorithm that determines if a given finite monoid belongs to this pseudovariety.

Keywords: finite monoids, Green's relations, monoid pseudovariety, category, relational morphism.

UDC: 517.977

Received: 14.10.2013


 English version: Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2015, 288, suppl. 1, 156–161

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© Steklov Math. Inst. of RAS, 2025