Half-factorial subrings of factorial domains

DOI10.1016/j.jpaa.2015.06.011zbMath1331.13014OpenAlexW1592131484MaRDI QIDQ890644

Peter Malcolmson, Frank Okoh

Publication date: 10 November 2015

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2015.06.011

zbMATH Keywords

polynomial ringhalf-factorial domainintegral closurefactorial domainmultiplicative conductor

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Integral domains (13G05) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15)

Related Items

The set of distances in seminormal weakly Krull monoids ⋮ Sets of Lengths ⋮ Length-factoriality in commutative monoids and integral domains ⋮ A characterization of seminormal C-monoids ⋮ Arithmetic of seminormal weakly Krull monoids and domains ⋮ On half-factoriality of transfer Krull monoids

Cites Work

• Arithmetic of seminormal weakly Krull monoids and domains
• Factorization in integral domains
• Power series extensions of half-factorial domains
• Factorization in integral domains. III
• Propriétés topologiques des polynômes de deux variables complexes et automorphismes algébriques de l'espace \(C^2\)
• On large half-factorial sets in elementary \(p\)-groups: maximal cardinality and structural char\-ac\-ter\-i\-zation.
• Half-factorial-domains
• Building counterexamples to generalizations for rational functions of Ritt's decomposition theorem
• Lectures on unique factorization domains. Notes by M. Pavman Murthy
• On the uniqueness of the coefficient ring in a polynomial ring
• On the maximal cardinality of half-factorial sets in cyclic groups
• On Fragility of Generalizations of Factoriality
• An arithmetic characterization of algebraic number fields with a given class group
• On c-semigroups
• A Characterization of Algebraic Number Fields with Class Number Two
• A Note on Finite Dimensional Subrings of Polynomial Rings
• Classical theory of algebraic numbers
• Elasticity of \(A+XI[X\) domains where \(A\) is a UFD]
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item