@article{article_1229771, title={On some ideal structure of Leavitt path algebras with coefficients in integral domains}, journal={International Electronic Journal of Algebra}, volume={33}, pages={34–53}, year={2023}, DOI={10.24330/ieja.1229771}, url={https://izlik.org/JA67ZD59XX}, author={Deo, Trinh Thanh and Chı, Vo Thanh}, keywords={Leavitt path algebra, prime ideal, basic ideal, maximal ideal}, abstract={In this paper, we present results concerning the structure of the ideals in the Leavitt path algebra of a (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.}, number={33}