TY  - JOUR
T1  - On some ideal structure of Leavitt path algebras with coefficients in integral domains
AU  - Deo, Trinh Thanh
AU  - Chı, Vo Thanh
PY  - 2023
DA  - January
DO  - 10.24330/ieja.1229771
JF  - International Electronic Journal of Algebra
JO  - IEJA
PB  - Abdullah HARMANCI
WT  - DergiPark
SN  - 1306-6048
SP  - 34
EP  - 53
VL  - 33
IS  - 33
LA  - en
AB  - 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.
KW  - Leavitt path algebra
KW  - prime ideal
KW  - basic ideal
KW  - maximal ideal
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UR  - https://doi.org/10.24330/ieja.1229771
L1  - https://dergipark.org.tr/en/download/article-file/2873745
ER  -