Subrings of the power series ring over a principal ideal domain

DOI10.1080/00927872.2021.1905824zbMath1476.13009OpenAlexW3153822072MaRDI QIDQ5159788

Phan Thanh Toan, Gyu Whan Chang

Publication date: 28 October 2021

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

Full work available at URL: https://doi.org/10.1080/00927872.2021.1905824

zbMATH Keywords

UFDPIDprime idealKrull dimensionpower series ring

Mathematics Subject Classification ID

Principal ideal rings (13F10) Ideals and multiplicative ideal theory in commutative rings (13A15) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Formal power series rings (13F25)

Cites Work

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• Power series rings over a Krull domain
• On the dimension theory of rings. II
• INTEGRAL DOMAINS OF THE FORM A + XIX: PRIME SPECTRUM, KRULL DIMENSION
• An intermediate ring between a polynomial ring and a power series ring
• On unique factorization domains
• Completely primary rings. I

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