Finitely presented monoids and algebras defined by permutation relations of Abelian type.

DOI10.1016/j.jpaa.2011.10.021zbMath1259.16024arXiv1006.3266OpenAlexW2113960632MaRDI QIDQ436084

Georg Klein, Eric Jespers, Ferran Cedó

Publication date: 30 July 2012

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.3266

zbMATH Keywords

prime idealsJacobson radicalfinitely presented algebraspermutation identitiesfinitely presented monoids

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) Semigroup rings, multiplicative semigroups of rings (20M25) Jacobson radical, quasimultiplication (16N20)

Related Items (3)

Finitely presented monoids and algebras defined by permutation relations of abelian type. II. ⋮ On finite complete rewriting systems, finite derivation type, and automaticity for homogeneous monoids ⋮ Construction of a two unique product semigroup defined by permutation relations of quaternion type.

Cites Work

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• Algebras and groups defined by permutation relations of alternating type.
• Primitivity of finitely presented monomial algebras.
• Finitely presented algebras and groups defined by permutation relations.
• p-solvable doubly transitive permutation groups
• NOETHERIAN SEMIGROUP ALGEBRAS

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