In this paper, we introduce the concepts of Stone elements, central elements and Birkhoof central elements of a double MS-algebra and study their related properties. We observe that the center C(L) of a double MS -algebra L is precisely the Birkhoof center BC(L) of L. A complete description of factor congruences on a double MS-algebra is given by means of the central elements. A characterization of balanced factor congruences of double MS-algebra is obtained. A one-to-one correspondence between the class of all balanced factor congruences of a double MS-algebra L and the central elements of L is obtained.
Badawy, A. E. (2019). Balanced factor congruences of double MS-algebras. Journal of the Egyptian Mathematical Society, 27(1), 1-15. doi: 10.1186/s42787-019-0008-y
MLA
Abd El-Mohsen Badawy. "Balanced factor congruences of double MS-algebras", Journal of the Egyptian Mathematical Society, 27, 1, 2019, 1-15. doi: 10.1186/s42787-019-0008-y
HARVARD
Badawy, A. E. (2019). 'Balanced factor congruences of double MS-algebras', Journal of the Egyptian Mathematical Society, 27(1), pp. 1-15. doi: 10.1186/s42787-019-0008-y
VANCOUVER
Badawy, A. E. Balanced factor congruences of double MS-algebras. Journal of the Egyptian Mathematical Society, 2019; 27(1): 1-15. doi: 10.1186/s42787-019-0008-y
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