On some ideal structure of Leavitt path algebras with coefficients in integral domains

Authors : Trinh Thanh DEO, Vo Thanh CHI

Pages : 34-53

Doi:10.24330/ieja.1229771

View : 18 | Download : 11

Publication Date : 2023-01-09

Article Type : Research Paper

Abstract :In this paper, we present results concerning the structure of the ideals in the Leavitt path algebra of a insert ignore into journalissuearticles values(countable); directed graph with coefficients in an integral domain, such as, describing the set of generators for an ideal; the necessary and sufficient conditions for an ideal to be prime; the necessary and sufficient conditions for a Leavitt path algebra to be simple. Besides, some other interesting properties of ideal structure in a Leavitt path algebra are also mentioned.
Keywords : Leavitt path algebra, prime ideal, basic ideal, maximal ideal