On Congruences of Principal GK2 -Algebras
Badawy, Abd El Mohsen; Ahmed, Mohiedeen; El-seidy, Essam; Gaber, Ahmed;
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.
Other data
| Title | On Congruences of Principal GK<inf>2</inf>-Algebras | Authors | Badawy, Abd El Mohsen; Ahmed, Mohiedeen; El-seidy, Essam ; Gaber, Ahmed | Keywords | 2-permutability of congruences;congruence pair;GK -algebra 2;GMS-algebra;MS-algebra;n-permutability of congruences;principal GK -algebra 2;strong extension | Issue Date | 1-Jan-2023 | Journal | Information Sciences Letters | Volume | 12 | Issue | 6 | Start page | 2623 | End page | 2632 | ISSN | 20909551 | DOI | 10.18576/isl/120657 | Scopus ID | 2-s2.0-85163637056 |
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