Congruence pairs of principal p-algebras
Abd El‐Mohsen Badawy, K. P. Shum · Mathematica Slovaca · 2017
Abstract In this paper, we first introduce the concept of congruence pairs on the class of principal p-algebras. Then, we show that every congruence relation θ on a principal p-algebra L can be uniquely determined by a congruence pair (θ 1, θ 2). Moreover, the strong extensions of principal p-algebras and the permutability of congruences will be investigated by congruence pairs.