Primitivity of finitely presented monomial algebras

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We study prime monomial algebras. Our main result is that a prime finitely presented monomial algebra is either primitive or it has GK dimension one and satisfies a polynomial identity. More generally, we show this result holds for the class of \emph{automaton algebras}; that is, monomial algebras that have a basis consisting of the set of words recognized by some finite state automaton. This proves a special case of a conjecture of the first author and Agata Smoktunowicz.
3 figures

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Rings and Algebras, 16P90

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http://salesiana.dossiersoluciones.com/handle/123456789/143619

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0712.0815
 http://arxiv.org/abs/0712.0815

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arXiv