Geodesic
k-Simplicity of Leavitt Path Algebras with Coefficients in a k-Semifield
Discussiones Mathematicae. General Algebra and Applications, Tome 42 (2022) no. 2, pp. 241-253

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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.
Keywords: Leavitt path algebra, semiring, semifield, k-semifield, k-simplicity 
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Gupta, Raibatak Sen; Sen, M.K. k-Simplicity of Leavitt Path Algebras with Coefficients in a k-Semifield. Discussiones Mathematicae. General Algebra and Applications, Tome 42 (2022) no. 2, pp. 241-253. http://geodesic.mathdoc.fr/item/DMGAA_2022_42_2_a0/