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A generalized Ufnarovski graph |
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| Authors: | Jonas Månsson Patrik Nordbeck |
| Affiliation: | (1) Centre for Mathematical Sciences, Lund University, Box 118, 221 00 Lund, Sweden |
| Abstract: | An important tool for studying standard finitely presented algebras is the Ufnarovski graph. In this paper we extend the use of the Ufnarovski graph to automaton algebras, introducing the generalized Ufnarovski graph. As an application, we show how this construction can be used to test Noetherianity of automaton algebras. |
| Keywords: | Non-commutative algebras Automaton algebras Automata Ufnarovski graph Dickson's lemma Noetherianity |
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