β-FILTERS OF MS-ALGEBRAS
Mukkamala Sambasiva Rao · Asian-European Journal of Mathematics · 2012
The concepts of boosters and β-filters are introduced in an MS-algebra and the β-filters are characterized in terms of boosters. It is then proved that the lattice of β-filters is isomorphic to the ideal lattice of the lattice of boosters. A set of equivalent conditions are derived for the lattice of boosters to become a relatively complemented lattice.