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Keywords

Algebra
multiplicative prime
real algebra

Abstract

We say that an algebra a is multiplicative prime if both a and m(a) ( the multiplication algebra of a) are prime . in this paper , we study the transitivity of the property of multiplicative primeness for real normal algebra when one take the process of the complexification of such real algebra . we prove that if a is a real normal multiplication of a is also multiplicatively prime normed algebra .
https://doi.org/10.33899/edusj.2006.77265
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