Let R be a commutative ring with identity and S a multiplicative subset of R. We say that R is an S-Noetherian ring if for each ideal I of R, there exist an s is an element of S and a finitely generated ideal J of R such that sI subset of J subset of I. In this article, we study transfers of S-Noetherian property to the composite semigroup ring and the composite generalized power series ring.
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