On the kernel of a monadic transformation

DOI10.1016/0021-8693(88)90264-5zbMath0648.13003OpenAlexW2069015801MaRDI QIDQ1104987

Louis J. jun. Ratliff

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)90264-5

zbMATH Keywords

Rees ringessential prime idealsasymptotic prime idealsmonadic transformationquintessential prime ideals

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Rational and birational maps (14E05) Ideals and multiplicative ideal theory in commutative rings (13A15)

Related Items (2)

An effective avoidance principle for a class of ideals ⋮ Principal ideal properties of \(R\)-sequences and asymptotic sequences

Cites Work

• Essential prime divisors and projectively equivalent ideals
• On the asymptotic cograde of an ideal
• Asymptotic sequences
• Asymptotic prime divisors and integral extension rings
• Essential sequences
• Asymptotic prime divisors and going down
• On asymptotic prime divisors
• Independent elements and asymptotic sequences
• Ideals of the principal class, R-sequences and a certain monoidal transformation
• U–essential prime divisors and sequences over an ideal
• The topology determined by the symbolic powers of primary ideals
• Asymptotic Stability of Ass(M/I n M)
• Note on coefficient fields of complete local rings
• On prime divisors of \(I^n\), \(n\) large

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