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Strongly graded leavitt path algebras
University West, SWE.
Blekinge Institute of Technology, Faculty of Engineering, Department of Mathematics and Natural Sciences.ORCID iD: 0000-0001-8095-0820
2022 (English)In: Journal of Algebra and its Applications, ISSN 0219-4988, E-ISSN 1793-6829, Vol. 21, no 07, article id 2250141Article in journal (Refereed) Published
Abstract [en]

Let R be a unital ring, let E be a directed graph and recall that the Leavitt path algebra LR(E) carries a natural-gradation. We show that LR(E) is strongly-graded if and only if E is row-finite, has no sink, and satisfies Condition (Y). Our result generalizes a recent result by Clark, Hazrat and Rigby, and the proof is short and self-contained. © 2022 World Scientific Publishing Company

Place, publisher, year, edition, pages
World Scientific , 2022. Vol. 21, no 07, article id 2250141
Keywords [en]
Leavitt path algebra, Strongly graded ring
National Category
Algebra and Logic
Identifiers
URN: urn:nbn:se:bth-21398DOI: 10.1142/S0219498822501419ISI: 000820925200009Scopus ID: 2-s2.0-85104961993OAI: oai:DiVA.org:bth-21398DiVA, id: diva2:1555023
Available from: 2021-05-17 Created: 2021-05-17 Last updated: 2022-08-11Bibliographically approved

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Öinert, Johan

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