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JV-Algèbres et JH*-Algèbres

Published online by Cambridge University Press:  20 November 2018

Ali Bensebah
Ali Bensebah*
Affiliation:
Département de Mathématiques et de Statistiques, Université de Montréal, C.P. 6128 succursale A, Montréal, Québec H3C 3J7
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Résumé

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In the present article we generalize Theorem 2.3 of [6] in the case of JV algebras without a unit element and we obtain as a consequence that the multiplicativity of the involution ((xy)* = y*x*) in the definition of a JH*-algebra is redundant (see [3]). We end this paper with a theorem on unital JH*-algebra which is a nonassociative extension of the main result in [4].

Keywords

46H70
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 34 , Issue 4 , 01 December 1991 , pp. 447 - 455
Copyright
Copyright © Canadian Mathematical Society 1991

References

Références

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