ON PRE-COXETER ALGEBRAS
2006 Volume 64 Issue 3 Pages 589-594
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2006 Volume 64 Issue 3 Pages 589-594
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.
