Congruences and d-filters of principal p-algebras

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 in...

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Bibliographic Details
Main Author: Abd El-Mohsen Badawy
Format: Article
Language:English
Published: SpringerOpen 2016-04-01
Series:Journal of the Egyptian Mathematical Society
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1110256X15000371