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The Leavitt Path Algebras of Ultragraphs

  • Imanfar, Mostafa (Faculty of Mathematics and Computer Science, Amirkabir University of Technology) ;
  • Pourabbas, Abdolrasoul (Faculty of Mathematics and Computer Science, Amirkabir University of Technology) ;
  • Larki, Hossein (Department of Mathematics, Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz)
  • Received : 2017.11.05
  • Accepted : 2019.11.18
  • Published : 2020.03.31

Abstract

We introduce the Leavitt path algebras of ultragraphs and we characterize their ideal structures. We then use this notion to introduce and study the algebraic analogy of Exel-Laca algebras.

Keywords

References

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