The Finite Basis Problem for Kiselman Monoids

D. N. Ashikhmin; Mikhail V. Volkov; Wen Ting Zhang

doi:10.1515/dema-2015-0035

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The Finite Basis Problem for Kiselman Monoids

D. N. Ashikhmin Mikhail V. Volkov Wen Ting Zhang

Year: 2015 Journal: Demonstratio Mathematica Vol: 48 (4) Publisher: De Gruyter Open

DOI: 10.1515/dema-2015-0035

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Abstract

Abstract 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 K

Keywords:

Mathematics Catalan Basis (linear algebra) Monoid Pure mathematics Catalan number Algebra over a field Combinatorics Linguistics Geometry Philosophy

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semigroups and automata theory

Physical Sciences → Computer Science → Computational Theory and Mathematics

Advanced Algebra and Logic

Physical Sciences → Computer Science → Computational Theory and Mathematics

Historical Linguistics and Language Studies

Social Sciences → Arts and Humanities → Language and Linguistics

The Finite Basis Problem for Kiselman Monoids

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