Gröbner basis and the automaton property of Hecke-Kiselman algebras

DOI10.1007/s00233-019-10029-wzbMath1423.16026arXiv1811.09060OpenAlexW2901720896MaRDI QIDQ2334424

Okniński, Jan, Arkadiusz Meçel

Publication date: 7 November 2019

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.09060

zbMATH Keywords

Gröbner basissimple graphmonoidautomaton algebraHecke-Kiselman algebra

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Growth rate, Gelfand-Kirillov dimension (16P90) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10)

Related Items (5)

Irreducible representations of Hecke-Kiselman monoids ⋮ The Gelfand-Kirillov dimension of Hecke-Kiselman algebras ⋮ Combinatorics and structure of Hecke–Kiselman algebras ⋮ Normal form in Hecke-Kiselman monoids associated with simple oriented graphs ⋮ On the radical of a Hecke-Kiselman algebra

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• Growth alternative for Hecke-Kiselman monoids
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• On Kiselman quotients of 0-Hecke monoids
• On a Class of Automaton Algebras

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