Abstract
In this paper we show that the class of PC-algebras and the class of
B-algebras with condition (D) are Smarandache disjoint, and show that an algebra
(X; ∗, 0) is a Coxeter algebra if and only if it is a PC-algebra with (N). Moreover, we
show that there is no non-trivial quadratic PC-algebras on a field with |X| ≥ 3.
