Congruences and d -filters of principal p -algebras
Abd El‐Mohsen Badawy · Journal of the Egyptian Mathematical Society · 2015
The concept of d -filters is introduced in p -algebras. Some properties of d -filters are studied. It is proved that the class F d ( L ) of all d -filters of a p -algebra L is a bounded complete lattice. A characterization of d -filters of a principal p -algebra is given. Also many properties of congruences induced by the d -filters are derived. A relationship between the d -filters of a principal p -algebra L and the congruences in [ Φ , ∇] is established.