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학술저널

Radicals of fixed subrings under Jordan automorphisms

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Let R be an. associative ring and let G be a finite group of Jordan automorphisms of R. Let RG be the set of elements in R fixed by all g ∈ G. In this paper we will study the relationship between the Levitzki radical of RG and R as that a Jordan ring. We also show that if R is a P.I. algebra, then the algebraicity of RG implies the algebraicity of R.

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