On a Class of Automaton Algebras

DOI10.1017/S0013091516000134zbMath1379.16016MaRDI QIDQ2976349

Okniński, Jan, Ferran Cedó

Publication date: 28 April 2017

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

semigroupnormal formfinitely generated algebraautomaton algebraregular language.

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Free semigroups, generators and relations, word problems (20M05) Algebraic theory of languages and automata (68Q70) Semigroups in automata theory, linguistics, etc. (20M35) Semigroup rings, multiplicative semigroups of rings (20M25) Noetherian rings and modules (associative rings and algebras) (16P40) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20)

Related Items (2)

Graded algebras, algebraic functions, planar trees, and elliptic integrals ⋮ Gröbner basis and the automaton property of Hecke-Kiselman algebras

Cites Work

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• Noetherian semigroup algebras.
• Structure of prime finitely presented monomial algebras.
• Primitivity of finitely presented monomial algebras.
• Skew polynomial rings with binomial relations
• Module finiteness of low dimensional PI rings
• Representability of Noetherian finitely generated algebras
• Semigroups of \(I\)-type
• Regular Gröbner bases
• A decomposition theorem for square-free unitary solutions of the quantum Yang-Baxter equation
• A generalized Ufnarovski graph
• Gröbner bases for quadratic algebras of skew type

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