quasi-multipliers on ℓ−algebras

In this paper we consider the notion of quasi-multipliers on an ℓ−algebra. we prove that, for a banach ℓ−algebra a with an ultra approximate identity, the set ℓqm(a) of all order continuous ℓ−quasi-multipliers on a is a banach f−algebra. further, we establish the relationship between the space ℓqm(a) and the space ℓm(a) of all ℓ−multipliers on a. it is shown that, for certain banach ℓ−algebra a, there exists a map φ : ℓm(a) → ℓqm(a) which is a positive, isometric and an algebraic lattice isomorphism.