2Absrobing ideal of Lie algebra

Let $L$ be a Lie algebra over a filed $F$. In this paper, the author introduces the concept of 2-absorbing ideal in a Lie algebra. A proper ideal $I$ of $L$ is called a 2-absorbing ideal if whenever $[H,[K,J]]\subseteq I$ for some ideals $H,K$ and $J$ of $L$, then $[J,H]\subseteq I$ or $[J,K]\subseteq I$ or $[H,K]\subseteq I$. Some results concerning 2-absorbing ideals are given. It is shown that if $P$ is a prime ideal, then $P$ is 2-absorbing ideal