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Abstract In this article, we define the Leavitt path algebra of a directed graph Γ with coefficients in a Clifford semifield S. The general properties of are briefly discussed. Then,… Click to show full abstract
Abstract In this article, we define the Leavitt path algebra of a directed graph Γ with coefficients in a Clifford semifield S. The general properties of are briefly discussed. Then, concentrating on the full k-simplicity (that is, the property of having no nontrivial full k-ideals), we find the necessary and sufficient condition for full k-simplicity of of a directed graph Γ over a Clifford semifield S. Also, we introduce c-homomorphisms of Leavitt path algebras over Clifford semifields and establish a version of the (Cuntz-Krieger) Uniqueness theorem for the Clifford semifield setting.
Journal Title: Communications in Algebra
Year Published: 2019
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