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.