Maximal depth property of finitely generated modules

DOI10.1142/S021949881850202XzbMath1409.13023arXiv1802.07596MaRDI QIDQ4644373

Ahad Rahimi

Publication date: 4 January 2019

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.07596

zbMATH Keywords

localizationgeneralized Cohen-Macaulaysequentially Cohen-Macaulayattached primesmaximal depth

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Local cohomology and commutative rings (13D45) Cohen-Macaulay modules (13C14) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (2)

Squarefree monomial ideals with maximal depth ⋮ Maximal depth property of bigraded modules

Uses Software

• CoCoA
• Macaulay2

Cites Work

• Sequentially Cohen-Macaulayness of bigraded modules
• Finite filtrations of modules and shellable multicomplexes
• Some features of \(CoCoA 3\)
• Generic and cogeneric monomial ideals
• On the unmixedness and universal catenaricity of local rings and local cohomology modules
• Sequentially Cohen-Macaulay edge ideals
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