On a representable class of separated lattice EQ-algebras
El-Zekey, M., Khalaf, M. (2020). On a representable class of separated lattice EQ-algebras. EKB Journal Management System, 7(1), 45-50. doi: 10.21608/jbes.2020.371141
Moataz El-Zekey; Mahmoud Khalaf. "On a representable class of separated lattice EQ-algebras". EKB Journal Management System, 7, 1, 2020, 45-50. doi: 10.21608/jbes.2020.371141
El-Zekey, M., Khalaf, M. (2020). 'On a representable class of separated lattice EQ-algebras', EKB Journal Management System, 7(1), pp. 45-50. doi: 10.21608/jbes.2020.371141
El-Zekey, M., Khalaf, M. On a representable class of separated lattice EQ-algebras. EKB Journal Management System, 2020; 7(1): 45-50. doi: 10.21608/jbes.2020.371141

On a representable class of separated lattice EQ-algebras

Journal of Basic and Environmental Sciences
Volume 7, Issue 1, January 2020, Pages 45-50    PDF (313.66 K)
Document Type: Original Article
DOI: 10.21608/jbes.2020.371141
Authors
Moataz El-Zekey1; Mahmoud Khalaf2
1Department of Engineering Mathematics, Physics and Science, Faculty of Engineering, Damietta University, New Damietta, 34517
2Department of basic Science, Faculty of Engineering, Benha University, Egypt
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
ℓEQΔ
s
-algebras. One of the main results of this paper is to characterize the class of representable ℓEQΔ
s
-algebras. We also
supply a number of useful results, leading to this characterization.
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