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Assist. Mahmoud Sayed Ahmed Khalaf Sayed :: Publications: |
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| Title: | On a representable class of separated lattice EQ-algebras |
| Authors: | Moataz El-Zekey, Mahmoud Khalaf |
| Year: | 2019 |
| Keywords: | Not Available |
| Journal: | Journal of Basic and Environmental Sciences |
| Volume: | 7 |
| Issue: | 1 |
| Pages: | Not Available |
| Publisher: | Not Available |
| Local/International: | Local |
| Paper Link: | Not Available |
| Full paper | Mahmoud Sayed Ahmed Khalaf Sayed_On a representable class of separated lattice EQ-algebras.pdf |
| Supplementary materials | Not Available |
| Abstract: |
In this paper, we introduce and study a class of separated lattice EQ-algebras that may be represented as subalgebras of products of linearly ordered ones. Such algebras are called representable. Namely, we enrich separated lattice EQ-algebras with a unary operation (the so called Baaz delta), fulfilling some additional assumptions. The resulting algebras are called lEQ_Δ^s-algebras. One of the main results of this paper is to characterize the class of representable lEQ_Δ^s-algebras. We also supply a number of useful results, leading to this characterization. |
