A Note on Weakly S-Noetherian Rings
Keyword(s):
Let R be a commutative ring with identity and S a (not necessarily saturated) multiplicative subset of R. We call the ring R to be a weakly S-Noetherian ring if every S-finite proper ideal of R is an S-Noetherian R-module. In this article, we study some properties of weakly S-Noetherian rings. In particular, we give some conditions for the Nagata’s idealization and the amalgamated algebra to be weakly S-Noetherian rings.
2019 ◽
Vol 18
(06)
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pp. 1950113
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2015 ◽
Vol 08
(03)
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pp. 1550051
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1979 ◽
Vol 20
(2)
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pp. 125-128
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Keyword(s):
2015 ◽
Vol 14
(06)
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pp. 1550079
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Keyword(s):
Keyword(s):
2019 ◽
Vol 19
(03)
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pp. 2050050
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1991 ◽
Vol 34
(1)
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pp. 155-160
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