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.

Keywords

• leavitt path algebra
• k-semifield
• semiring
• semifield
• k-simplicity
• 16s88
• 16y60
• 16d25
• 16d99
• 16g99
• 16s10