Abstract
Distributive lattices with antitone involutions (or equivalently, distributive basic algebras) are studied. It is proved that in the finite case their underlying lattices are isomorphic to direct products of finite chains, and hence finite distributive basic algebras can be constructed by "perturbing" finite MV-algebras, and moreover, under certain natural conditions, they even coincide with finite MV-algebras. Sharp elements in basic algebras satisfying these natural conditions are studied, too.
Full Text
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call