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- W3108371015 abstract "Let $R$ be a unital commutative ring with unit and $mathscr{G}$ an ample groupoid. Using the topology of the groupoid $mathscr{G}$, Steinberg defined an etale groupoid algebra $R mathscr{G}$. These etale groupoid algebras generalize various algebras including group algebras, commutative algebras over a field generated by idempotents, traditional groupoid algebras, Leavitt path algebras, and higher-rank graph algebras, and inverse semigroup algebras. Steinberg later characterized the classical chain conditions for etale groupoid algebras. We extend the work of Steinberg in this paper by characterizing categorically noetherian and artinian etale groupoid algebras and generalizing existing results for Leavitt path algebras." @default.
- W3108371015 created "2020-12-07" @default.
- W3108371015 creator A5048825822 @default.
- W3108371015 date "2020-11-24" @default.
- W3108371015 modified "2023-09-27" @default.
- W3108371015 title "Chain Conditions for Etale Groupoid Algebras" @default.
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