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math.RA2016★ 1 cited
A criterion for Leavitt path algebras having invariant basis number
T. G. Nam, N. T. Phuc
In this paper, we give a matrix-theoretic criterion for the Leavitt path algebra of a finite graph has Invariant Basis Number. Consequently, we show that the Cohn path algebra of a…
math.RA2016★ 2 cited
Leavitt path algebras having Unbounded Generating Number
G. Abrams, T. G. Nam, N. T. Phuc
We present a result of P. Ara which establishes that the Unbounded Generating Number property is a Morita invariant for unital rings. Using this, we give necessary and sufficient c…