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Chain conditions on composite Hurwitz series rings

Jung Wook Lim;  Dong Yeol Oh — 2017

Open Mathematics

In this paper, we study chain conditions on composite Hurwitz series rings and composite Hurwitz polynomial rings. More precisely, we characterize when composite Hurwitz series rings and composite Hurwitz polynomial rings are Noetherian, S-Noetherian or satisfy the ascending chain condition on principal ideals.

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