Noetherian properties in composite generalized power series rings

DOI10.1515/math-2020-0103zbMath1476.13005OpenAlexW3119977316MaRDI QIDQ2053536

Jung Wook Lim, Dong Yeol Oh

Publication date: 29 November 2021

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

Full work available at URL: https://doi.org/10.1515/math-2020-0103

zbMATH Keywords

Noetherian ringgeneralized power series ring\(D+\llbracket E^{\Gamma^{\ast}, \leq}\rrbracket \)\(D+\llbracket I^{\Gamma^{\ast},\leq}\rrbracket\)

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Graded rings (13A02) Ideals and multiplicative ideal theory in commutative rings (13A15) Formal power series rings (13F25) Completion of commutative rings (13B35)

Cites Work

• Noetherian rings of generalized power series
• Rings of generalized power series. II: Units and zero-divisors
• When is \(A+XBX\) Noetherian?
• Special properties of generalized power series
• Noetherian Generalized Power Series Rings
• Armendariz and Reduced Rings
• An Existence Theorem for Non-Noetherian Rings
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