Abstract
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.
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