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
Badawy, A. E. (2016). Congruences and d -filters of principal p -algebras. Journal of the Egyptian Mathematical Society, 24(2), 160-164. doi: 10.1016/j.joems.2015.04.003
MLA
Abd El-Mohsen Badawy. "Congruences and d -filters of principal p -algebras", Journal of the Egyptian Mathematical Society, 24, 2, 2016, 160-164. doi: 10.1016/j.joems.2015.04.003
HARVARD
Badawy, A. E. (2016). 'Congruences and d -filters of principal p -algebras', Journal of the Egyptian Mathematical Society, 24(2), pp. 160-164. doi: 10.1016/j.joems.2015.04.003
VANCOUVER
Badawy, A. E. Congruences and d -filters of principal p -algebras. Journal of the Egyptian Mathematical Society, 2016; 24(2): 160-164. doi: 10.1016/j.joems.2015.04.003
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