Chain conditions on composite Hurwitz series rings

DOI10.1515/math-2017-0097zbMath1386.13010OpenAlexW2760390498MaRDI QIDQ2406595

Jung Wook Lim, Dong Yeol Oh

Publication date: 5 October 2017

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2017-0097

zbMATH Keywords

Noetherian ringascending chain condition on principal ideals\(S\)-Noetherian ringcomposite Hurwitz polynomial ring \(h(R, D)\)composite Hurwitz series ring \(H(R, D)\)présimplifiable ring

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Ideals and multiplicative ideal theory in commutative rings (13A15) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Chain conditions, finiteness conditions in commutative ring theory (13E99)

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