\(A\)-subalgebras of \(A[x]\)

DOI10.1016/0021-8693(79)90340-5zbMath0407.13014OpenAlexW2051160051MaRDI QIDQ1257929

Abraham Zaks

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0021-8693(79)90340-5

zbMATH Keywords

Integral DomainKrull DomainRing of PolynomialsTorsion Class GroupUfd

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Integral domains (13G05) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Torsion theory for commutative rings (13D30)

Related Items

On a problem of Kaplansky, Finiteness conditions in Krull subrings of a ring of polynomials, On a problem of Kaplansky. II: Every finitely generated Abelian group is the restricted Grothendieck group of a local, Noetherian, Krull domain

Cites Work

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• Luroth's problem for rings
• Subrings of a polynomial ring of one variable
• On a special class of Dedekind domains
• A note on the class group
• Dedekind subrings of \(k[x_1,\dots,x_n\) are rings of polynomials]
• On the uniqueness of the coefficient ring in a polynomial ring
• Inert Extensions of Krull Domains
• Overrings of Commutative Rings. II. Integrally Closed Overrings
• Subalgebras of Free Associative Algebras
• Rings of Polynomials
• On the flat overrings of an integral domain
• Integral domains with quotient overrings