La clôture algébrique du corps des séries formelles
Generalization of the -Noetherian concept
Let be a commutative ring and a multiplicative system of ideals. We say that is -Noetherian, if for each ideal of , there exist and a finitely generated ideal such that . In this paper, we study the transfer of this property to the polynomial ring and Nagata’s idealization.
Ideal structure of Hurwitz series rings.
Extensions of radical operations to fractional ideals.
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