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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