Simple complete ideals in two-dimensional regular local rings

DOI10.1080/00927879708825936zbMath0878.13015OpenAlexW2023227035MaRDI QIDQ4342921

Sunsook Noh

Publication date: 22 December 1997

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

Full work available at URL: https://doi.org/10.1080/00927879708825936

zbMATH Keywords

complete idealintegrally closed idealinfinitely near pointstwo-dimensional regular local ringorder of an idealadjacent from belowfirst neighborhood prime divisorfirst quadratic transformation

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Regular local rings (13H05)

Related Items (7)

Adjacent Ideals to Simple Complete Ideals in Two-Dimensional Regular Local Rings ⋮ Powers of simple complete ideals in two-dimensional regular local rings ⋮ The blow-up of a simple ideal ⋮ Muhly local domains and Zariski's theory of complete ideals ⋮ One-fibered ideals in 2-dimensional rational singularities that can be desingularized by blowing up the unique maximal ideal ⋮ Valuation ideals of order one in 2-dimensional regular local rings ⋮ A class of projectively full ideals in two-dimensional Muhly local domains

Cites Work

• Unnamed Item
• Birational extensions in dimension two and integrally closed ideals
• Sequence of valuation ideals of prime divisors of the second kind in 2- dimensional regular local rings
• Adjacent integrally closed ideals in dimension two
• Powers of simple complete ideals in two-dimensional regular local rings
• Polynomial Ideals Defined by Infinitely Near Base Points

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