فهرست نشریات علمی دسترسی آزاد ایران

The notion of $\omega$-filters is introduced in distributive lattices and their properties are studied. A set of equivalent conditions is derived for every maximal filter of a distributive lattice to become an $\omega$-filter which leads to a characterization of quasi-complemented lattices. Some sufficient conditions are derived for proper $D$-filters of a distributive lattice to become an $\omega$-filter. Finally, $\omega$-filters of a distributive lattice are characterized with the help of minimal prime $D$-filters.