Discussiones Mathematicae - General Algebra and Applications (Oct 2022)
k-Simplicity of Leavitt Path Algebras with Coefficients in a k-Semifield
Abstract
In this paper, we consider Leavitt path algebras having coefficients in a k-semifield. Concentrating on the aspect of k-simplicity, we find a set of necessary and sufficient conditions for the k-simplicity of the Leavitt path algebra LS(Γ) of a directed graph Γ over a non-zeroid k-semifield S.
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