on zl-ideals and zl-filters in thelocally functionally countable subalgebra of c(x)

‎let $l_c(x)={fin c(x)‎ : ‎overline{c_f}=x}$‎, ‎where $c_f$ is the union of all open subsets $usubseteq x$ such that $|f(u)|leqaleph_0$‎. ‎the concepts of $e_l-$filters and $e_l-$ideals has been introduced and studied in $l^*_c(x)$‎. ‎it is shown the maximal ideals of $l^*_c(x)$ are in one-to-one correspondence with the $e_l$-ulterafilters on $x$ and also‎ , ‎the sets of $e_l$-ulterafilters‎ ‎ and $z_l$‎- ‎ultrafilters are in one-to-one correspondence‎. ‎it is also shown that the sets of maximal ideals of $c_l(x)$ and $c^*_l(x)$ have the same cardinality‎.