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On Congruences of Principal GK2-Algebras |
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PP: 2623-2632 |
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doi:10.18576/isl/120657
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Author(s) |
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Abd El-Mohsen Badawy,
Mohiedeen Ahmed,
Essam El-Seidy,
Ahmed Gaber,
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Abstract |
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| 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.
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