Emre, Ekrem2020-05-012020-05-0120190219-49881793-6829https://doi.org/10.1142/S0219498819500622https://hdl.handle.net/20.500.12684/6020WOS: 000462509400002We give necessary and sufficient conditions on a directed graph E for which the associated Leavit path algebra L-K(E) has at least one full idempotent. Also, we define E-n, n >= 0 sub-graphs of E and show that L-K(E) has at least one full idempotent if and only if there is a sub-graph Er such that the associated Leavitt path algebra L-K(E-r) has at least one full idempotent.en10.1142/S0219498819500622info:eu-repo/semantics/closedAccessFull idempotentLeavitt path algebrarestriction graphMorita invariant propertysource eliminationArticle184WOS:000462509400002Q2Q3