on rm-algebras with an additional condition

In this paper, we apply a new condition to rm-algebras. we obtain some relations among this condition with another axioms in some algebras of logic and some examples are given to illustrate them. %it is proved we prove that the relation derived from this new algebra is a partial ordering. it is proved that rm-algebras with condition (i) are abelian group. also, we present that the bi-algebras, bck-algebras, l-algebras, kl-algebras cl-algebras and be-algebras satisfying (i) are trivial.