CONSECUTIVE CANCELLATIONS IN FILTERED FREE RESOLUTIONS

DOI10.4134/BKMS.b180907zbMath1423.13137OpenAlexW3086274893MaRDI QIDQ5242398

Leila Sharifan

Publication date: 8 November 2019

Full work available at URL: http://koreascience.or.kr:80/article/JAKO201921467620287.pdf

zbMATH Keywords

minimal free resolutionmapping coneassociated graded modulefiltered moduleconsecutive cancellationfiltered free resolutionleading term ideal

Mathematics Subject Classification ID

Syzygies, resolutions, complexes and commutative rings (13D02) Regular local rings (13H05)

Uses Software

• CoCoA
• SINGULAR

Cites Work

• Graded syzygies
• Structure theorems for certain Gorenstein ideals
• Cohen-Macaulayness of almost complete intersection tangent cones
• Hilbert functions of filtered modules
• Minimal free resolution of monomial ideals by iterated mapping cone
• Consecutive cancellations in Tor modules over local rings
• Minimal free resolution of a finitely generated module over a regular local ring
• Consecutive cancellations in Betti numbers of local rings
• SINGULAR
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