Normally Torsion-free Lexsegment Ideals

DOI10.1142/S1005386715000048zbMath1353.13010arXiv1010.1473MaRDI QIDQ5496355

Anda-Georgina Olteanu

Publication date: 30 January 2015

Published in: Algebra Colloquium (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.1473

zbMATH Keywords

depthlexsegmentnormally torsion-free

Mathematics Subject Classification ID

Graded rings (13A02) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Theory of modules and ideals in commutative rings (13C99)

Related Items (3)

Powers of lexsegment ideals with linear resolution ⋮ Symbolic powers of codimension two Cohen-Macaulay ideals ⋮ Normally torsion-freeness of monomial ideals under monomial operators

Uses Software

• SINGULAR

Cites Work

• On the ideal theory of graphs
• Betti numbers of lex-segment ideals
• Combinatorial symbolic powers
• The depth of powers of an ideal
• Embedded associated primes of powers of square-free monomial ideals
• Lexsegment Ideals Are Sequentially Cohen-Macaulay
• Completely lexsegment ideals

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