%0 Journal Article
%T Generalized join-hemimorphisms on Boolean algebras
%A Sergio Celani
%J International Journal of Mathematics and Mathematical Sciences
%D 2003
%I Hindawi Publishing Corporation
%R 10.1155/s016117120311112x
%X We introduce the notions of generalized join-hemimorphism and generalized Boolean relation as an extension of the notions of join-hemimorphism and Boolean relation, respectively. We prove a duality between these two notions. We will also define a generalization of the notion of Boolean algebra with operators by considering a finite family of Boolean algebras endowed with a generalized join-hemimorphism. Finally, we define suitable notions of subalgebra, congruences, Boolean equivalence, and open filters.
%U http://www.hindawi.com/journals/ijmms/2003/960209/abs/