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  • Author or Editor: S. Feigelstock x
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Abstract  

A ringR is called anAE n-ring,n≥2 a positive integer, if every endomorphism ϕ of additive group ofR satisfies ϕ(a 1 a 2...a n)=ϕ(a 1)ϕ(a 2)...ϕ(a n) for alla 1,...,a nεR. Several results concerning the structure ofAE n-rings are obtained in this note, including an (incomplete) description ofAE n-ringsR satisfyingR t R n−1≠0, whereR t is the torsion ideal inR.

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