Factorization properties on the composite Hurwitz rings

DOI10.11568/KJM.2024.32.1.97zbMATH Open1543.13002MaRDI QIDQ6569329

Dong Yeol Oh

Publication date: 9 July 2024

Published in: Korean Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

unique factorization domainbounded factorization domainfinite factorization domaincomposite Hurwitz rings

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) Divisibility and factorizations in commutative rings (13A05)

Cites Work

• Title not available (Why is that?)
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• Basic properties of Hurwitz series rings
• Factorization in integral domains
• Ideal structure of Hurwitz series rings
• Factorization in integral domains. II
• Adjunctions and comonads in differential algebra
• Factorization in integral domains. III
• When is \(A+XBX\) Noetherian?
• Chain conditions on composite Hurwitz series rings
• Krull dimension and unique factorization in Hurwitz polynomial rings
• On the ring of hurwitz series
• Finite factorization domains
• Hermite and ps-rings of hurwitz series^∗
• Some factorization properties of composite domains a+xb[x and a+xbx]
• Composite Hurwitz Rings Satisfying the Ascending Chain Condition on Principal Ideals
• Unique Factorization
• Unique Factorization Domains
• The \(A+ XB[X\) and \(A+ XBX\) constructions from \(GCD\)-domains]

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