Congruences and d -filters of principal p -algebras | Zendy

Abd ElMohsen Badawy | Zendy

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Congruences and d -filters of principal p -algebras

Author(s) -

Abd ElMohsen Badawy

Publication year - 2015

Publication title -

journal of the egyptian mathematical society

Language(s) - English

Resource type - Journals

eISSN - 2090-9128

pISSN - 1110-256X

DOI - 10.1016/j.joems.2015.04.003

Subject(s) - congruence relation , mathematics , lattice (music) , pure mathematics , characterization (materials science) , bounded function , principal (computer security) , filter (signal processing) , class (philosophy) , algebra over a field , discrete mathematics , mathematical analysis , computer science , artificial intelligence , physics , materials science , acoustics , computer vision , nanotechnology , operating system

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

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