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Original Articles

S-Noetherian Properties of Composite Ring Extensions

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Pages 2820-2829 | Received 03 Dec 2013, Published online: 04 Jun 2015
 

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.

2010 Mathematics Subject Classification:

ACKNOWLEDGMENTS

We would like to thank the referee for several valuable suggestions.

Notes

Communicated by S. Bazzoni.

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