On the asymptotic cograde of an ideal
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Publication:790885
DOI10.1016/0021-8693(84)90159-5zbMath0535.13001OpenAlexW1996381062MaRDI QIDQ790885
Stephen McAdam, Louis J. jun. Ratliff
Publication date: 1984
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-8693(84)90159-5
Ideals and multiplicative ideal theory in commutative rings (13A15) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Local rings and semilocal rings (13H99)
Related Items (12)
On the kernel of a monadic transformation ⋮ Filtrations, closure operations and prime divisors ⋮ On the asymptotic sequences over an ideal ⋮ On the grade and cograde of a Noetherian filtration ⋮ Essential sequences and projective equivalence ⋮ Grade functions and two classical theorems ⋮ A Characterization of locally quasi-unmixed rings ⋮ Essential sequences over an ideal and essential cograde ⋮ Asymptotic prime divisors and integral extension rings ⋮ U–essential prime divisors and sequences over an ideal ⋮ Five notes on asymptotic prime divisors ⋮ The topology determined by the symbolic powers of primary ideals
Cites Work
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- Asymptotic Prime Divisors and Analytic Spreads
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- Asymptotic Stability of Ass(M/I n M)
- The asymptotic nature of the analytic spread
- Note on analytic spread and asymptotic sequences
- On Quasi-Unmixed Semi-Local Rings and the Altitude Formula
- On Quasi-Unmixed Local Domains, the Altitude Formula, and the Chain Condition for Prime Ideals (II)
- Note on coefficient fields of complete local rings
- A Note on Integral Closure
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