# Prime and Primitive Ideals of Ultragraph Leavitt Path Algebras

@inproceedings{Pourabbas2021PrimeAP, title={Prime and Primitive Ideals of Ultragraph Leavitt Path Algebras}, author={Abdolrasoul Pourabbas and M. Imanfar and Hossein Larki}, year={2021} }

Let G be an ultragraph and let K be a field. We describe prime and primitive ideals in the ultragraph Leavitt path algebra LK(G). We identify the graded prime ideals in terms of downward directed sets and then we characterize the non-graded prime ideals. We show that the non-graded prime ideals of LK(G) are always primitive.

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