Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
483489 | Journal of the Egyptian Mathematical Society | 2016 | 5 Pages |
Abstract
The concept of d-filters is introduced in p-algebras. Some properties of d-filters are studied. It is proved that the class Fd(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.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Abd El-Mohsen Badawy,