Construction of the integral closure of a finite integral domain

DOI10.1007/BF02923228zbMath0218.14023OpenAlexW1524660974MaRDI QIDQ5622367

A. Seidenberg

Publication date: 1971

Published in: Rendiconti del Seminario Matematico e Fisico di Milano (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02923228

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Integral closure of commutative rings and ideals (13B22) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Singularities of curves, local rings (14H20)

Related Items

Construction of the integral closure of an affine domain in a finite field extension of its quotient field, Square-free algorithms in positive characteristic, Computational aspects of the coordinate ring of an algebraic variety, Fast separable factorization and applications, On the Length of a Hilbert Ascending Chain, Normalization of rings, The decomposition theorem for ideals in polynomial rings over a domain, Conjugacy problem in metabelian groups, Construction of the Integral Closure of a Finite Integral Domain. II, Valuation theory: A constructive view, Constructions in Algebra

Cites Work

• Reduction of Singularities of the Differential Equation Ady = Bdx
• Constructive normalization of an algebraic variety
• The Concept of a Simple Point of an Abstract Algebraic Variety
• The Hyperplane Sections of Normal Varieties
• Unnamed Item
• Unnamed Item