Factorization of complete ideals
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Publication:1111612
DOI10.1016/0021-8693(88)90286-4zbMath0658.13001OpenAlexW2024589822MaRDI QIDQ1111612
Publication date: 1988
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-8693(88)90286-4
Ideals and multiplicative ideal theory in commutative rings (13A15) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Regular local rings (13H05)
Related Items (13)
Factorization of complete ideals in normal birational extensions in dimension two ⋮ A new characterization of rational surface singularities ⋮ Remark on Rees valuations of finitely supported complete monomial ideals in a regular local ring ⋮ Finitely supported \(\ast\)-simple complete ideals and multiplicities in a regular local ring ⋮ Finitely supported \(\ast\)-simple complete ideals in a regular local ring ⋮ Integrally closed and componentwise linear ideals ⋮ Quadratic transform of complete ideals in regular local rings ⋮ Some results relating to adjacent ideals in dimension two ⋮ Integrally Closed Modules Over Two-Dimensional Regular Local Rings ⋮ On unique and almost unique factorization of complete ideals. II ⋮ Zariski factorization theory for sheaves of ideals on arithmetic three-folds ⋮ The Rees Valuations of Complete Ideals in a Regular Local Ring ⋮ Unique factorization of *-products of one-fibered monomial ideals
Cites Work
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- The primary components of and integral closures of ideals in 3-dimensional regular local rings
- Semifactoriality and Muhly's condition (N) in two dimensional local rings
- The theorem of Riemann-Roch for high multiples of an effective divisor on an algebraic surface
- Rational singularities, with applications to algebraic surfaces and unique factorization
- On Unique and Almost Unique Factorization of Complete Ideals
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