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The Leavitt Path Algebras of Ultragraphs

Hossein Larki|Mostafa Imanfar|Abdolrasoul Pourabbas
경북대학교 자연과학대학 수학과|2020.03|Kyungpook Mathematical Journal|제60권 제1호|pp. 21-43|DOI 10.5666/KMJ.2020.60.1.21

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키워드

ultragraph C^∗-algebraLeavitt path algebraExel-Laca algebra
주제분류수학

초록

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.

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.

참고문헌 (18)

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  13. Hossein Larki, "Primitive ideals and pure infiniteness of ultragraph $C^*$-algebras", 대한수학회지, 56(1), pp.1~23 (2019), 대한수학회[DOI]
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관련 논문AI추천

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