Abstract. We prove a representation theorem for any $d$-algebra $A$ with the point separating order dual $A^{\prime }$.

AMS Subject Classification (1991): 06F25, 47B65

Keyword(s): d, f, Arens product, -algebras, separating couple

Received July 16, 2008, and in revised form October 4, 2008. (Registered under 6421/2009.)