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