Prime spectrum and primitive Leavitt path algebras

2007/12/13 by Aranda-Pino, G., Pardo, E., Siles-Molina, M.
#16D70 #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.0712.2102

Abstract

In this paper a bijection between the set of prime ideals of a Leavitt path algebra L_K(E) and a certain set which involves maximal tails in E and the prime spectrum of K[x,x^-1] is established. Necessary and sufficient conditions on the graph E so that the Leavitt path algebra L_K(E) is primitive are also found.

Related

• The Theory of Prime Ideals of Leavitt Path Algebras over Arbitrary\n Graphs
• A Survey on The Ideal Structure of Leavitt Path Algebras
• The Dixmier-Moeglin equivalence for Leavitt path algebras
• Ideal structure of Leavitt path algebras with coefficients in a unital\n commutative ring
• Variations of primeness and Factorization of ideals in Leavitt Path\n Algebras