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Luroth's problem for rings

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Publication:1230823
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DOI10.1016/0021-8693(76)90136-8zbMath0339.13018OpenAlexW2058126676MaRDI QIDQ1230823

Judith D. Sally, Sarah Glaz, Vasconcelos, Wolmer V.

Publication date: 1976

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

Full work available at URL: https://doi.org/10.1016/0021-8693(76)90136-8



Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials over commutative rings (13B25)


Related Items

Factriality and finiteness properties of subalgebras over which is faithfully flat ⋮ Associative rings ⋮ \(A\)-subalgebras of \(A[x\)]



Cites Work

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  • On the \(R\)-invariance of \(R[X\)]
  • Anneaux locaux henséliens
  • Dedekind subrings of \(k[x_1,\dots,x_n\) are rings of polynomials]
  • Critères de platitude et de projectivité. Techniques de platification d'un module. (Criterial of flatness and projectivity. Technics of flatification of a module.)
  • Derivations and generations of finite extensions
  • Flat idelas i
  • On Projective Modules of Finite Rank
  • Nonuniqueness of Coefficient Rings in a Polynomial Ring
  • The Finiteness of I When R[ X /I is Flat]
  • The Finiteness of I when R[ X /I is R-Flat. II]
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