On $S$-Noetherian rings
Liu, Zhongkui
Archivum Mathematicum, Tome 043 (2007), p. 55-60 / Harvested from Czech Digital Mathematics Library
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Let $R$ be a commutative ring and $S\subseteq R$ a given multiplicative set. Let $(M,\le )$ be a strictly ordered monoid satisfying the condition that $0\le m$ for every $m\in M$. Then it is shown, under some additional conditions, that the generalized power series ring $[[R^{M,\le }]]$ is $S$-Noetherian if and only if $R$ is $S$-Noetherian and $M$ is finitely generated.

Publié le : 2007-01-01
Classification:  16P40 
@article{108049,
     author = {Zhongkui Liu},
     title = {On $S$-Noetherian rings},
     journal = {Archivum Mathematicum},
     volume = {043},
     year = {2007},
     pages = {55-60},
     zbl = {1160.16307},
     mrnumber = {2310124},
     language = {en},
     url = {http://dml.mathdoc.fr/item/108049}
}

Liu, Zhongkui. On $S$-Noetherian rings. Archivum Mathematicum, Tome 043 (2007) pp. 55-60. http://gdmltest.u-ga.fr/item/108049/

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