Balanced factor congruences of double MS-algebras
Badawy, A. (2019). Balanced factor congruences of double MS-algebras. EKB Journal Management System, 27(1), 1-15. doi: 10.1186/s42787-019-0008-y
Abd El-Mohsen Badawy. "Balanced factor congruences of double MS-algebras". EKB Journal Management System, 27, 1, 2019, 1-15. doi: 10.1186/s42787-019-0008-y
Badawy, A. (2019). 'Balanced factor congruences of double MS-algebras', EKB Journal Management System, 27(1), pp. 1-15. doi: 10.1186/s42787-019-0008-y
Badawy, A. Balanced factor congruences of double MS-algebras. EKB Journal Management System, 2019; 27(1): 1-15. doi: 10.1186/s42787-019-0008-y

Balanced factor congruences of double MS-algebras

Journal of the Egyptian Mathematical Society
Article 6, Volume 27, Issue 1, 2019, Pages 1-15    PDF (816.8 K)
DOI: 10.1186/s42787-019-0008-y
Author
Abd El-Mohsen Badawy
Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt
Abstract
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.

Keywords
De Morgan algebra; MS-algebra; Double MS-algebra; Factor congruences; Balanced factor congruences
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