Maximal depth property of bigraded modules

DOI10.1007/s12215-020-00538-xzbMath1473.13007arXiv2007.05744OpenAlexW3046897968MaRDI QIDQ2047469

Ahad Rahimi

Publication date: 20 August 2021

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.05744

zbMATH Keywords

monomial ideallocal cohomologygeneralized Cohen-Macaulaysequentially Cohen-Macaulayhypersurface ringmaximal depth

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Local cohomology and commutative rings (13D45) Graded rings and modules (associative rings and algebras) (16W50) Cohen-Macaulay modules (13C14) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Uses Software

• CoCoA
• Macaulay2

Cites Work

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• The eventual stability of depth, associated primes and cohomology of a graded module
• Sequentially Cohen-Macaulayness of bigraded modules
• Relative Cohen-Macaulayness of bigraded modules
• Generic and cogeneric monomial ideals
• Relative Cohen-Macaulayness and relative unmixedness of bigraded modules
• Symbolic powers of sums of ideals
• Sequentially generalized Cohen–Macaulayness of bigraded modules
• On the structure of sequentially Cohen-Macaulay bigraded modules
• Maximal depth property of finitely generated modules
• Squarefree monomial ideals with maximal depth

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