New Trends in Mathematical Sciences, no.5, pp.168-174, 2017 (Peer-Reviewed Journal)
In this paper we introduce a new concept of a d-bimorphism on a vector lattice and prove that, for vector lattices A and B,the Arens triadjoint T∗∗∗ : (A′)′n ×(A′)′n →(B′)′
n of a d-bimorphism T : A×A→B is a d-bimorphism. This generalizes the concept of
d-algebra and some results on the order bidual of d-algebras.