Corpus ID: 237635419

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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