Stability theorems for overrings of polynomial rings

DOI10.1007/BF01394270zbMath0475.13016MaRDI QIDQ1159721

Amit Roy, Shrikaut M. Bhatwadekar

Publication date: 1982

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142928

zbMATH Keywords

projective modulecancellation propertyPicK1dimension of noetherian ringoverrings of polynomial rings

Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Grothendieck groups, (K)-theory and commutative rings (13D15)

Related Items (13)

Existence of unimodular elements in a projective module ⋮ Projective generation of ideals in a certain ring ⋮ Unimodular elements in projective modules and an analogue of a result of mandal ⋮ Projective modules and orbit space of unimodular rows over discrete Hodge algebras over a non-Noetherian ring ⋮ On rigid rings ⋮ Efficient generation of ideals in a discrete Hodge algebra ⋮ Stability results for projective modules over Rees algebras ⋮ On some intermediate rings ⋮ Efficient generation of ideals over a certain monoid algebra ⋮ Subrings of polynomial rings and the conjectures of Eisenbud and Evans ⋮ Some $K$-theoretic properties of the kernel of a locally nilpotent derivation on $k[X_1, \dots , X_4$] ⋮ Stability theorems for overrings of polynomial rings. II ⋮ Efficient generation of ideals in overrings of polynomial rings

Cites Work

• K-theory and analytic isomorphisms
• Vector bundles over affine surfaces birationally equivalent to a ruled surface
• The Conjectures of Eisenbud and Evans
• ON THE STRUCTURE OF THE SPECIAL LINEAR GROUP OVER POLYNOMIAL RINGS
• ON THE STABILIZATION OF THE GENERAL LINEAR GROUP OVER A RING

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