Abstract
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 ∈ S and a finitely generated ideal J of R such that sI ⊆ J ⊆ I. In this article, we study transfers of S-Noetherian property to the composite semigroup ring and the composite generalized power series ring.
ACKNOWLEDGMENTS
We would like to thank the referee for several valuable suggestions.
Notes
Communicated by S. Bazzoni.