CHAIN CONDITIONS ON ÉTALE GROUPOID ALGEBRAS WITH APPLICATIONS TO LEAVITT PATH ALGEBRAS AND INVERSE SEMIGROUP ALGEBRAS

DOI10.1017/S1446788717000374zbMath1422.16017arXiv1709.01582OpenAlexW2962761409MaRDI QIDQ4642373

Benjamin Steinberg

Publication date: 23 May 2018

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.01582

zbMATH Keywords

étale groupoidsLeavitt path algebraschain conditionsinverse semigroup algebrasgroupoid algebras

Mathematics Subject Classification ID

Topological groupoids (including differentiable and Lie groupoids) (22A22) Semigroup rings, multiplicative semigroups of rings (20M25) Artinian rings and modules (associative rings and algebras) (16P20) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items

Simplicity of algebras via epsilon-strong systems ⋮ Diagonal-preserving isomorphisms of étale groupoid algebras ⋮ Strongly graded groupoids and strongly graded Steinberg algebras ⋮ On induced graded simple modules over graded Steinberg algebras with applications to Leavitt path algebras ⋮ On the ideals of ultragraph Leavitt path algebras ⋮ Chain conditions for epsilon-strongly graded rings with applications to Leavitt path algebras ⋮ Prime étale groupoid algebras with applications to inverse semigroup and Leavitt path algebras ⋮ The Groupoid Approach to Leavitt Path Algebras ⋮ Étale Groupoids and Steinberg Algebras a Concise Introduction ⋮ Unnamed Item ⋮ Congruence-simplicity of Steinberg algebras of non-Hausdorff ample groupoids over semifields

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