Geodesic
On the pseudovariety generated by all finite monoids satisfying $\mathscr{R=H}$
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 20 (2014) no. 1, pp. 215-220

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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
Mots-clés : relational morphism. 
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     title = {On the pseudovariety generated by all finite monoids satisfying $\mathscr{R=H}$},
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T. V. Pervukhina. On the pseudovariety generated by all finite monoids satisfying $\mathscr{R=H}$. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 20 (2014) no. 1, pp. 215-220. http://geodesic.mathdoc.fr/item/TIMM_2014_20_1_a19/