A note on reduction numbers and Hilbert--Samuel functions of ideals over Cohen--Macaulay rings
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Publication:4633187
DOI10.3906/mat-1506-41zbMath1424.13038OpenAlexW2428680525MaRDI QIDQ4633187
Publication date: 2 May 2019
Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3906/mat-1506-41
Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40)
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On the Hilbert coefficients, depth of associated graded rings and reduction numbers ⋮ Results on the Hilbert coefficients and reduction numbers
Cites Work
- Genera and arithmetic genera of commutative rings
- Hilbert functions and symbolic powers
- Integral closures of ideals generated by regular sequences
- A note on the Hilbert-Samuel function in a two-dimensional local ring
- Hilbert coefficients of integrally closed ideals
- Reduction numbers for ideals of higher analytic spread
- Reduction Exponent and Degree Bound for the Defining Equations of Graded Rings
- Reduction numbers and Hilbert polynomials of ideals in higher dimensional CohenMacaulay local rings
- The Reduction Number of an Ideal and the Local Cohomology of the Associated Graded Ring
- Form rings and regular sequences
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