Nicely-contractible ideals, z0−ideals and z−ideals in formal series rings in finitely many variables

DOI10.1080/00927872.2022.2145299OpenAlexW4309496734MaRDI QIDQ5887564

Ali Benhissi

Publication date: 13 April 2023

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2022.2145299

zbMATH Keywords

power seriesminimal prime ideal\(z\)-ideal\(z^0\)-idealnicely-contractible ideal

Mathematics Subject Classification ID

Polynomials over commutative rings (13B25) Ideals and multiplicative ideal theory in commutative rings (13A15) Formal power series rings (13F25)

Cites Work

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• Nonnil-Noetherian rings and the SFT property
• Some countability conditions in a commutative ring
• The Krull dimension of power series rings over non-SFT rings
• Power series rings over Prüfer domains
• The Laskerian Property, Power Series Rings and Noetherian Spectra
• A Note on Minimal Prime Ideals
• FORMAL POWER SERIES RINGS OVER ZERO-DIMENSIONAL SFT-RINGS
• Arnold's Theorem on the Strongly Finite Type (SFT) Property and the Dimension of Power Series Rings
• Zero Divisors and Nilpotent Elements in Power Series Rings
• Krull Dimension in Power Series Rings

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