Power series rings over strong Mori domains.

DOI10.1016/j.jalgebra.2003.07.009zbMath1043.13004OpenAlexW2023718222MaRDI QIDQ1419018

Mi Hee Park

Publication date: 14 January 2004

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2003.07.009

zbMATH Keywords

integral domainpower series ringsGlaz-Vasconcelos ideal\(w\)-idealstrong Mori domain

Mathematics Subject Classification ID

Integral domains (13G05) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Formal power series rings (13F25)

Related Items (12)

Some results on \(t\)-locally strong Mori domains and their rings of integer-valued polynomials ⋮ Group rings and semigroup rings over strong Mori domains. II. ⋮ Numerical Semigroup Rings and Almost Prüferv-Multiplication Domains ⋮ Integral domains issued from associated primes ⋮ On S-Mori domains ⋮ On \(S\)-strong Mori domains ⋮ Noetherian-like properties and zero-dimensionality in some extensions of rings ⋮ Module-Theoretic Characterizations oft-Linkative Domains ⋮ A note on *_{𝑤}-Noetherian domains ⋮ \(\ast\)-Noetherian domains and the ring \(D[x_N\)] ⋮ Integral Closure of Graded Integral Domains ⋮ Semistar ascending chain conditions over power series rings

Cites Work

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• Two star-operations and their induced lattices
• A Two-Dimensional Non-Noetherian Factorial Ring
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