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Original Articles

THE MULTIPLICATION ALGEBRA OF WEIGHTED ALGEBRAS OF DEGREE 4

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Pages 5345-5357 | Received 01 Jun 2001, Published online: 01 Feb 2007
 

ABSTRACT

In a previous paper,Citation[8] the authors show that there are two main classes of commutative baric -algebras satisfying an equation of the form , where are scalars in the base field . They appear as references (1) and (2) in the body of this paper. Some properties of these classes of algebras are also established in that paper. In the present one, we study their multiplication algebras aiming for a more detailed knowledge of those algebras. Some of the results generalize propositions appearing inCitation[8].

ACKNOWLEDGMENT

The first author was supported by CNPq-Brazil, grant 300645/93-7 and the second, by Conicyt-Chile, Proyecto Fondecyt – Lineas Complementarias 8990001.

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