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Communications in Algebra Volume 42, 2014 - Issue 10
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Original Articles

Quiver Algebras of Coverings and Twisted Tensor Products

Jon M. Corson Department of Mathematics, University of West Alabama, Livingston, AL, USACorrespondence[email protected]
&
Thomas J. Ratkovich Department of Mathematics, University of Alabama, Tuscaloosa, AL, USA
Pages 4435-4450 | Received 03 May 2013, Published online: 14 May 2014
 
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Abstract

Given a covering Γ of a quiver Δ, we show that the quiver algebra K[Γ] of Γ over a field K is a twisted tensor product of the quiver algebra of the fibre of the covering viewed as a trivial quiver and the quiver algebra K[Δ]. To make sense of this, we first extend the theory of twisted tensor products of algebras to include algebras without units.

2010 Mathematics Subject Classification:

Notes

Communicated by J. L. Gomez Pand.

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