Abstract

Let = (Rn)n≥0 be an ascending chain of commutative rings with identity and (resp., ) the generalized composite Hurwitz series ring (resp., generalized composite Hurwitz polynomial ring). In this paper, we completely characterize when the rings and are PS-rings. More precisely, we show that and are always PS-rings. This is an affirmative answer to the question raised by Benhissi and Koja.Communicated by Silvana Bazzoni

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