The Finite Basis Problem for Kiselman Monoids

الأصل · EN

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. In the third version a question left open in the initial submission has beed answered.