Leavitt path algebras with bases consisting solely of units

DOI10.1016/j.jalgebra.2018.11.010zbMath1445.16028OpenAlexW2903125387WikidataQ128860668 ScholiaQ128860668MaRDI QIDQ1632451

Nick Pilewski, Sergio R. López-Permouth

Publication date: 14 December 2018

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2018.11.010

zbMATH Keywords

unitsalgebras with involutionmatrix algebrasbasisnoncommutative algebrasLeavitt path algebras

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Units, groups of units (associative rings and algebras) (16U60) Leavitt path algebras (16S88)

Related Items

Bases of Leavitt path algebras with only strongly regular elements ⋮ Algebras having bases that consist solely of strongly regular elements ⋮ On invertible algebras

Cites Work

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• Cohn Path Algebras have Invariant Basis Number
• Leavitt path algebras of separated graphs
• Stable rank of Leavitt path algebras
• The Module Type of a Ring
• Modules witnessing that a leavitt path algebra is directly infinite

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