Congruences and d -filters of principal p -algebras | ||||
Journal of the Egyptian Mathematical Society | ||||
Volume 24, Issue 2, 2016, Page 160-164 PDF (329.12 K) | ||||
DOI: 10.1016/j.joems.2015.04.003 | ||||
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Author | ||||
Abd El-Mohsen Badawy | ||||
Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt | ||||
Abstract | ||||
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 [ , ∇] is established | ||||
Keywords | ||||
p -Algebras; principal p -algebras; Filters; Congruences | ||||
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