Finitely presented algebras defined by permutation relations of dihedral type

DOI10.1142/S0218196716500089zbMath1346.16018arXiv1412.3707MaRDI QIDQ2796984

Ferran Cedó, Georg Klein, Eric Jespers

Publication date: 30 March 2016

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.3707

zbMATH Keywords

Jacobson radicalsemigroup ringssemigroup algebrasfinitely presented semigroupsregular languagesfinitely presented algebraspermutation identitiesmonoid algebrassymmetric presentationsunique product groupssemiprimitive algebrasprimitive algebrasautomaton algebras

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) Semigroups in automata theory, linguistics, etc. (20M35) Semigroup rings, multiplicative semigroups of rings (20M25) Jacobson radical, quasimultiplication (16N20)

Related Items (1)

Homogeneous nilradicals over semigroup graded rings

Cites Work

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• Trichotomy for finitely generated monomial algebras.
• Finitely presented monoids and algebras defined by permutation relations of abelian type. II.
• Primitivity of finitely presented monomial algebras.
• A short proof of a theorem of Brodskiĭ
• The Units of Group-Rings
• Construction of a two unique product semigroup defined by permutation relations of quaternion type.

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