• ON ASSOCIATIVE FILTERS OF LATTICE IMPLICATION ALGEBRAS
Abstract
The properties of associative filters are studied. The notion of relative annihilators, induced by an associative filter, are introduced and their prop-erties are studied. The prime filter theorem is finally extended to the case of associative filters and it is proved with the help od relative annihilators of lattice implication algebras.
Keywords
Lattice implication algebra, filter, lattice filter, associative filter, relative annihilator.
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