Characterizing Rickart and Baer ultragraph Leavitt path algebras

DOI10.1016/j.jalgebra.2023.12.025arXiv2307.14431MaRDI QIDQ6146417

Mitchell Jubeir, Daniel W. van Wyk

Publication date: 5 February 2024

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2307.14431

zbMATH Keywords

Baer ringsLeavitt path algebrasRickart ringsultragraphs

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Graded rings and modules (associative rings and algebras) (16W50)

Cites Work

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• \(*\)-regular Leavitt path algebras of arbitrary graphs.
• Leavitt path algebras with coefficients in a commutative ring.
• Leavitt path algebras
• Ultragraph algebras via labelled graph groupoids, with applications to generalized uniqueness theorems
• Baer and Baer \(\ast\)-ring characterizations of Leavitt path algebras
• Realizing ultragraph Leavitt path algebras as Steinberg algebras
• Leavitt path algebras of separated graphs
• Graph algebras, Exel-Laca algebras, and ultragraph algebras coincide up to Morita equivalence
• The Leavitt Path Algebras of Ultragraphs
• Topological full groups of ultragraph groupoids as an isomorphism invariant

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