DIRECT FACTOR OF SCHUR MULTIPLIER

in this paper we give the structure of covers of Lie algebra that their schur multipliers are finite dimentional. we study about direct factor the schur multiplier of a nilpotent sub Lie algebra. in Batten (1993), P.batten showed that if L is finite dimensional that its Schur multiplier is isomorphic to , the second cohomology of . Furthermore for every ideal in , there is an exact cohomology sequence as follows: in the following we study some properties of schur multiplier of Lie algebra.