A criterion for Leavitt path algebras having invariant basis number

Abstract

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 finite graph has Invariant Basis Number, as well as provide some certain classes of finite graphs for which Leavitt path algebras having Invariant Basis Number.

arXiv comment21 pages. arXiv admin note: substantial text overlap with arXiv:1603.09695

References in corpus (1)

• Leavitt path algebras having Unbounded Generating Number