Mixed quiver algebras

2009/09/02 by Pere Ara, Ara, Pere, Miquel Brustenga +1
Mathematics · #16D70 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Rings and Algebras (math.RA) #math.RA #msc:16D70

paper · pdf · doi:10.48550/arxiv.0909.0421

12 pages

arxiv created 2009/09/02 · openalex publication_date 2009/09/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we introduce a new class of K-algebras associated with quivers. Given any finite chain K_r: K=K₀⊆ K₁⊆ ... ⊆ K_r of fields and a chain E_r : H₀⊂ H₁⊂ ... ⊂ H_r=E⁰ of hereditary saturated subsets of the set of vertices E⁰ of a quiver E, we build the mixed path algebra P_Kr(E,H_r), the mixed Leavitt path algebra L_Kr(E,H_r) and the mixed regular path algebra Q_Kr(E,H_r) and we show that they share many properties with the unmixed species P_K(E), L_K(E) and Q_K(E).

Cited by

• Module theory over Leavitt path algebras and K-theory

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