Scientiae Mathematicae Japonicae
Online ISSN : 1346-0447
ON PRE-COXETER ALGEBRAS
Hee Sik KimHyo Jin Kim
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2006 年 64 巻 3 号 p. 589-594

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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.
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© 2006 International Society for Mathematical Sciences
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