Abstract
In this paper, we prove that if [Formula: see text] is an Archimedean reduced ring and satisfy ACC on annihilators, then [Formula: see text] is also an Archimedean reduced ring. More generally, we prove that if [Formula: see text] is a right Archimedean ring satisfying the ACC on annihilators and [Formula: see text] is a rigid automorphism of [Formula: see text], then the skew power series ring [Formula: see text] is right Archimedean reduced ring. We also provide some examples to justify the assumptions we made to obtain the required result.
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