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- W4297201040 abstract "We obtain a complete structural characterization of Cohn-Leavitt algebras over no-exit objects as graded involutive algebras. Corollaries of this result include graph-theoretic conditions characterizing when a Leavitt path algebra is a directed union of (graded) matricial algebras over the underlying field and over the algebra of Laurent polynomials and when the monoid of isomorphism classes of finitely generated projective modules is atomic and cancellative. We introduce the non-unital generalizations of graded analogues of noetherian and artinian rings, graded locally noetherian and graded locally artinian rings, and characterize graded locally noetherian and graded locally artinian Leavitt path algebras without any restriction on the cardinality of the graph. As a consequence, we relax the assumptions of the Abrams-Aranda-Perera-Siles characterization of locally noetherian and locally artinian Leavitt path algebras." @default.
- W4297201040 created "2022-09-27" @default.
- W4297201040 creator A5014240789 @default.
- W4297201040 date "2017-09-20" @default.
- W4297201040 modified "2023-09-23" @default.
- W4297201040 title "Graded chain conditions and Leavitt path algebras of no-exit graphs" @default.
- W4297201040 doi "https://doi.org/10.48550/arxiv.1709.06969" @default.
- W4297201040 hasPublicationYear "2017" @default.
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