$\sigma$-filters of commutative $BE$-algebras

The concept of $\sigma $-filters is introduced in commutative $BE$-algebras and some properties of these classes of filters are studied. Some equivalent conditions are derived for every filter of a commutative $BE$-algebra to become a $\sigma $-filter. Some necessary and sufficient conditions are given for every regular filter of a commutative $BE$-algebra to become a $\sigma $-filter. A set of equivalent conditions is given for the class of all $\sigma $-filters of a commutative $BE$-algebra to become a sublattice to the lattice of all filters.