Some theorems on generation of ideals in affine algebras

DOI10.1007/BF02566348zbMath0559.13002OpenAlexW2072142289MaRDI QIDQ802607

N. Mohan Kumar

Publication date: 1984

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/139975

zbMATH Keywords

complete intersectionprojective moduleminimal number of generatorsaffine ring

Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) Complete intersections (14M10) Ideals and multiplicative ideal theory in commutative rings (13A15) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Relevant commutative algebra (14A05)

Related Items (15)

The Homotopy Obstructions in Complete Intersections ⋮ Generating ideals in polynomial rings ⋮ Inversion of monic polynomials and existence of unimodular elements. II ⋮ Local coefficients and Euler class groups ⋮ A question of Nori, Segre classes of ideals and other applications ⋮ Stably free modules over smooth affine threefolds ⋮ Singular integrals supported on the image of an analytic function ⋮ Zero-cycles, splitting of projective modules and number of generators of a module ⋮ Exotic embeddings of smooth affine varieties ⋮ On the equations defining points ⋮ Projective modules over smooth real affine varieties ⋮ Bott periodicity and calculus of Euler classes on spheres ⋮ Affine varieties with exotic models ⋮ Addition and subtraction of ideals ⋮ Some results about modules over discrete Hodge algebras

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