Kybernetika 45 no. 6, 1030-1039, 2009

Congruences and Ideals in Lattice Effect Algebras as Basic Algebras

Silvia Pulmannová and Elena Vinceková


Effect basic algebras (which correspond to lattice ordered effect algebras) are studied. Their ideals are characterized (in the language of basic algebras) and one-to-one correspondence between ideals and congruences is shown. Conditions under which the quotients are OMLs or MV-algebras are found.


effect algebra, ideal, basic algebra, congruence


81P10, 08A55, 03G12, 06C15