Boolean Centre of a C-algebra

There is a precise characterisation of factor congruences on a C-algebra with meet identity $T$. The characterisation of such congruences on a C-algebra with out $T$ is a difficult task. In this paper, we make such an attempt and we characterise the factor congruences on a C-algebra $A$ and identify these with certain elements or sets of elements of $A$

Regular filters of commutative BE-algebras

The concept of regular filters is introduced in commutative BE-algebras. The class of all regular filters of a commutative BE-algebra is characterized in terms of dual annihilators. Some equivalent conditions are derived for every filter of a commutative BE-algebra to become a regular filter. Some properties of prime regular filters of a commutative BE-algebra are investigated.Publisher's Versio