Algebras having bases that consist solely of units

DOI10.1007/s11856-015-1208-2zbMath1355.16026OpenAlexW2269369957MaRDI QIDQ891094

Nick Pilewski, Steve Szabo, Jeremy Moore, Sergio R. López-Permouth

Publication date: 16 November 2015

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-015-1208-2

zbMATH Keywords

crossed productgroup ringinvertible algebrasskew group ringtwisted group ring

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Twisted and skew group rings, crossed products (16S35) Units, groups of units (associative rings and algebras) (16U60) Associative rings and algebras arising under various constructions (16S99)

Related Items

The QRD and SVD of matrices over a real algebra ⋮ Leavitt path algebras with bases consisting solely of units ⋮ Bases consisting of units for Leavitt path algebras ⋮ Algebras having bases that consist solely of units ⋮ Bases of Leavitt path algebras with only strongly regular elements ⋮ Algebras having bases that consist solely of strongly regular elements ⋮ On invertible algebras ⋮ On infinite MacWilliams rings and minimal injectivity conditions

Cites Work

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• Rings which are generated by their units
• Algebras having bases that consist solely of units
• Nonstable \(K\)-theory for graph algebras.
• Bases consisting of units for Leavitt path algebras
• The Leavitt path algebra of a graph.
• 2-GOOD RINGS

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