On Congruences of Principal GK2-Algebras

Authors

Abd El-Mohsen Badawy, Department of Mathematics, Faculty of Science, Tanta University, Tanta, EgyptFollow
Mohiedeen Ahmed, Department of Mathematics, Faculty of Science, Ain shams University, Cairo, EgyptFollow
Essam El-Seidy, Department of Mathematics, Faculty of Science, Ain shams University, Cairo, EgyptFollow
Ahmed Gaber, Department of Mathematics, Faculty of Science, Ain shams University, Cairo, EgyptFollow

Abstract

We investigate some features of principal GK2-algebras (PGK2-algebras). Necessary and sufficient conditions for a principal GK2- algebra to have 2-permutable congruences are obtained. Furthermore, it is established how 2-permutable congruences are characterized using pairs of principal congruences. Also, a generalization of the 2-permutability of the primary congruences of the GK2-algebras concept to the concept of the n-permutable congruences is provided. We round off with strong extensions of principal GK2 -algebras.

Recommended Citation

El-Mohsen Badawy, Abd; Ahmed, Mohiedeen; El-Seidy, Essam; and Gaber, Ahmed (2023) "On Congruences of Principal GK2-Algebras," Information Sciences Letters: Vol. 12 : Iss. 6 , PP -.
Available at: https://digitalcommons.aaru.edu.jo/isl/vol12/iss6/57