On a class of automaton algebras

Ferran Cedó; Jan Okniński

doi:10.1017/S0013091516000134

On a class of automaton algebras

Ferran Cedó, Jan Okniński

Research output: Contribution to journal › Article › Research › peer-review

2 Citations (Scopus)

Abstract

Copyright © 2016 Edinburgh Mathematical Society. We show that every finitely generated algebra that is a finitely generated module over a finitely generated commutative subalgebra is an automaton algebra in the sense of Ufnarovskii.

Original language	English
Pages (from-to)	31-38
Journal	Proceedings of the Edinburgh Mathematical Society
Volume	60
Issue number	1
DOIs	https://doi.org/10.1017/S0013091516000134
Publication status	Published - 1 Feb 2017

Keywords

Automaton algebra
Finitely generated algebra
Normal form
Regular language
Semigroup

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10.1017/S0013091516000134

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title = "On a class of automaton algebras",

abstract = "Copyright {\textcopyright} 2016 Edinburgh Mathematical Society. We show that every finitely generated algebra that is a finitely generated module over a finitely generated commutative subalgebra is an automaton algebra in the sense of Ufnarovskii.",

keywords = "Automaton algebra, Finitely generated algebra, Normal form, Regular language, Semigroup",

author = "Ferran Ced{\'o} and Jan Okni{\'n}ski",

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KW - Finitely generated algebra

KW - Normal form

KW - Regular language

KW - Semigroup

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On a class of automaton algebras

Abstract

Keywords

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