Seminormality and projective modules over polynomial rings

DOI10.1016/0021-8693(79)90200-XzbMath0446.13005MaRDI QIDQ1145735

James Brewer, Douglas L. Costa

Publication date: 1979

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

zbMATH Keywords

Picard groupPrüfer domainalgebraic K-theorypolynomial extensionintegral domainseminormal domainprojective modules over polynomial ringscoordinate ring of irreducible affine curve

Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Grothendieck groups, (K)-theory and commutative rings (13D15) Curves in algebraic geometry (14H99)

Related Items

On seminormal overrings ⋮ Lifting seminormality ⋮ On t-invertibility II ⋮ On the radical ideals of seminormal rings ⋮ On \(\text{Pic}(R[X)\) for \(R\) seminormal] ⋮ K-theory and analytic isomorphisms ⋮ Seminormality and root closure in polynomial rings and algebraic curves ⋮ Seminormal graded rings ⋮ Seminormality, projective algebras, and invertible algebras ⋮ Seminormal graded rings. II ⋮ Constructing projective algebras ⋮ PRINC domains and comaximal factorization domains ⋮ Root closure in integral domains ⋮ Unnamed Item ⋮ Projective algebras ⋮ When is a power series ring \(n\)-root closed? ⋮ Root closure in integral domains, II ⋮ On seminormality ⋮ Two Extensions of a Star Operation on D to the Polynomial Ring D[X] ⋮ On seminormality ⋮ Seminormal rings (following Thierry Coquand) ⋮ Seminormality of complete integral closures ⋮ Flat ideals III ⋮ Algebraic K-theory ⋮ On the picard group of a class of non-seminormal domains ⋮ ON INTEGRAL DOMAINS WITH CYCLIC GROUP ACTIONS ⋮ On quasi-polynomial algebras ⋮ On weak normality and symmetric algebras ⋮ Remarks on quasinormal rings

Cites Work

• On \(\text{Pic}(R[X)\) for \(R\) seminormal]
• On the \(R\)-invariance of \(R[X\)]
• Torsion Free and Projective Modules
• On the Geometric Interpretation of Seminormality
• The Finiteness of I when R[ X /I is R-Flat. II]
• Projective modules over polynomial rings
• Projective modules over polynomial rings
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item