A note on set-theoretic complete intersection ideals

DOI10.1016/0021-8693(78)90017-0zbMath0391.13007OpenAlexW2108990644MaRDI QIDQ1251259

M. Boratynski

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1016/0021-8693(78)90017-0

zbMATH Keywords

Locally Complete IntersectionPolynomial RingsSerre's ProblemSet-Theoretic Complete Intersection

Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Rational and unirational varieties (14M20) Ideals and multiplicative ideal theory in commutative rings (13A15)

Related Items (17)

Generating ideals in polynomial rings ⋮ Generation and projective generation of ideals ⋮ Generating ideals up to radical ⋮ A Study of Suslin Matrices: Their Properties and Uses ⋮ Generating ideals up to radical in noetherian polynomial rings ⋮ Generating ideals up to radical and systems of parameters of graded rings ⋮ The number of equations needed to define an algebraic set ⋮ The equations of almost complete intersections ⋮ Complete intersections in Stein manifolds ⋮ A Fundamental Property of Suslin Matrices ⋮ Complete intersection points on affine varieties ⋮ On the equations defining points ⋮ A Riemann-Roch theorem ⋮ Euler class construction ⋮ When is an ideal generated by a regular sequence? ⋮ On the Equations De.ning Curves in a Polynomial Algebra ⋮ The Number of Generators of Modules over Polynomial Rings

Cites Work

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• Rational equivalence on singular varieties
• Generalizations of the notion of class group
• Modules which support nonsingular forms
• Serre sequences and Chern classes
• La théorie des classes de Chern
• Efficient Generation of Maximal Ideals in Polynomial Rings
• ON STABLY FREE MODULES
• Vector bundles over spheres are algebraic

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