Basic algebras (bounded lattices having antitone involutions on principal filters) can be regarded as a wide generalization of orthomodular lattices and MV-algebras, also including lattice effect algebras. The paper surveys the recent results in this field.
Basic algebras (bounded lattices having antitone involutions on principal filters) can be regarded as a wide generalization of orthomodular lattices and MV-algebras, also including lattice effect algebras. The paper surveys the recent results in this field. (en)