S-Noetherian Properties of Composite Ring Extensions |
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Authors: | Jung Wook Lim |
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Affiliation: | Department of Mathematics , Kyungpook National University , Daegu , South Korea |
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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. |
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Keywords: | D + E[Γ*] D + [[E Γ*,≤ ]] S-Noetherian ring, S-Noetherian module |
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