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• W2962761409 abstract "The author has previously associated to each commutative ring with unit $R$ and étale groupoid $mathscr{G}$ with locally compact, Hausdorff and totally disconnected unit space an $R$ -algebra $R,mathscr{G}$ . In this paper we characterize when $R,mathscr{G}$ is Noetherian and when it is Artinian. As corollaries, we extend the characterization of Abrams, Aranda Pino and Siles Molina of finite-dimensional and of Noetherian Leavitt path algebras over a field to arbitrary commutative coefficient rings and we recover the characterization of Okniński of Noetherian inverse semigroup algebras and of Zelmanov of Artinian inverse semigroup algebras." @default.
• W2962761409 created "2019-07-30" @default.
• W2962761409 creator A5056602969 @default.
• W2962761409 date "2018-03-28" @default.
• W2962761409 modified "2023-09-27" @default.
• W2962761409 title "CHAIN CONDITIONS ON ÉTALE GROUPOID ALGEBRAS WITH APPLICATIONS TO LEAVITT PATH ALGEBRAS AND INVERSE SEMIGROUP ALGEBRAS" @default.
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• W2962761409 doi "https://doi.org/10.1017/s1446788717000374" @default.
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