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The multiplication algebra of weighted algebras of degree 4

机译:The multiplication algebra of weighted algebras of degree 4

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摘要

In a previous paper,([8]). the authors, show that there are two main classes of commutative baric K-algebras satisfying an equation of the form (x(2))(2) = alphaomega(x)x(3) + betaomega(x)(2)x(2) + gammaomega(x)(3)x, where alpha, beta, gamma are scalars in the base field K. 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 in([8]). [References: 14]

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