Automatic structure for generalized Bruck-Reilly ∗-extension of a monoid

DOI10.31801/cfsuasmas.472024OpenAlexW2945252190MaRDI QIDQ5085758

Eylem Güzel Karpuz

Publication date: 27 June 2022

Published in: Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.31801/cfsuasmas.472024

zbMATH Keywords

presentationautomatic semigroupgeneralized Bruck-Reilly \(*\)-extension

Mathematics Subject Classification ID

Free semigroups, generators and relations, word problems (20M05) Semigroups in automata theory, linguistics, etc. (20M35)

Cites Work

• *-bisimple type A \(\omega\)-semigroups. I
• Automatic semigroups
• Automatic semigroups and Bruck-Reilly extensions.
• \(*\)-bisimple type A \(\omega^2\)-semigroups as generalized Bruck-Reilly \(*\)-extensions.
• Some fixed-point results on (generalized) Bruck-Reilly \(*\)-extensions of monoids.
• Automatic structures for semigroup constructions.
• Gröbner-Shirshov Bases of the Generalized Bruck-Reilly ∗-Extension
• Finite presentability of generalized Bruck–Reilly ∗-extension of groups
• Some semigroup classes and congruences on Bruck-Reilly and generalized Bruck-Reilly ∗-extensions of monoids
• Automaticity and commutative semigroups
• A Geometric Characterization of Automatic Monoids
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