Congruences and ideals in lattice effect algebras as basic algebras
Silvia Pulmannová, Elena Vinceková · Czech digital mathematics library · 2009
summary: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.