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The finite basis problem for Kiselman monoids

Ashikhmin D. N., Volkov M. V., Zhang W. T.

Demonstratio Mathematica

2015

Vol. 48, nr 4

475--492

In an earlier paper, the second-named author has described the identities holding in the so-called Catalan monoids. Here we extend this description to a certain family of Hecke–Kiselman monoids including the Kiselman monoids Kn. As a consequence, we conclude that the identities of Kn are nonfinitely based for every n≥4 and exhibit a finite identity basis for the identities of each of the monoids K2 and K3.