Coherence of Polynomial Rings

DOI10.2307/2040750zbMath0332.13012OpenAlexW4239914119MaRDI QIDQ4097027

Vasconcelos, Wolmer V., Brian Greenberg

Publication date: 1976

Full work available at URL: https://doi.org/10.2307/2040750

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) Structure, classification theorems for modules and ideals in commutative rings (13C05) Chain conditions, finiteness conditions in commutative ring theory (13E99)

Related Items

\(K\)-theory of Prüfer domains ⋮ Regular symmetric algebras ⋮ Two-generated ideals in non-Noetherian semigroup rings ⋮ Coherent quivers ⋮ Coherence of amalgamations ⋮ Free algebras over Bezout domains are Sylvester domains ⋮ Generalized umbrella rings ⋮ The trailing terms ideal ⋮ Graded 3-Calabi-Yau algebras as Ore extensions of 2-Calabi-Yau algebras ⋮ Coherence in cartesian squares ⋮ Sylvester domains ⋮ The construction \(D+XD_s[X\)] ⋮ The Bass-Quillen problem on a class of local rings with weak global dimension two ⋮ Modules

Cites Work

• Conductor, projectivity and injectivity
• Global dimension of cartesian squares
• Coherence of polynomial rings and bounds in polynomial ideals
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Première partie). Rédigé avec la colloboration de J. Dieudonné
• Anneaux et modules cohérents
• Critères de platitude et de projectivité. Techniques de platification d'un module. (Criterial of flatness and projectivity. Technics of flatification of a module.)
• Finiteness in projective ideals
• Finiteness in Prime Ideals in Rings of Global Dimension Two
• Coherence of One Polynomial Ring
• Global Dimension of Valuation Rings
• The Local Rings of Global Dimension Two
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