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SIMPLICITY AND CHAIN CONDITIONS FOR ULTRAGRAPH LEAVITT PATH ALGEBRAS VIA PARTIAL SKEW GROUP RING THEORY

Published online by Cambridge University Press:  18 July 2019

DANIEL GONÇALVES*
Affiliation:
Department of Mathematics, Federal University of Santa Catarina, 88040900, Brazil
DANILO ROYER
Affiliation:
Department of Mathematics, Federal University of Santa Catarina, 88040900, Brazil email: daniloroyer@gmail.com

Abstract

We realize Leavitt ultragraph path algebras as partial skew group rings. Using this realization we characterize artinian ultragraph path algebras and give simplicity criteria for these algebras.

Type
Research Article
Copyright
© 2019 Australian Mathematical Publishing Association Inc.

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Footnotes

Communicated by A. Sims

Partially supported by CNPq and Capes-PrInt Brazil.

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