voluntary ge-filters and further results of ge-filters in ge-algebras

Further properties on (belligerent) ge-filters are discussed, and the quotient ge-algebra via a ge-filter is established. conditions for the set →c to be a belligerent ge-filter are provided. the extension property of belligerent ge-filter is composed. the notions of a balanced element, a balanced ge-filter, an antisymmetric ge-algebra and a voluntary ge-filter are introduced, and its properties are examined. the relationship between a gesubalgebra and a ge-filter is established. conditions for every element in a ge-algebra to be a balanced element are provided. the conditions necessary for a ge-filter to be a voluntary gef ilter are considered. the ge-filter generated by a given subset is established, and its shape is identified.