Grade of Ideals with Respect to Torsion Theories

DOI10.1080/00927872.2012.682672zbMath1282.13022arXiv1004.1359OpenAlexW2123485872MaRDI QIDQ2848497

Massoud Tousi, Mohsen Asgharzadeh

Publication date: 26 September 2013

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

Full work available at URL: https://arxiv.org/abs/1004.1359

zbMATH Keywords

torsion theorynon-Noetherian ringgrade of an ideal

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Torsion theory for commutative rings (13D30)

Related Items (1)

Almost Cohen-Macaulay and almost regular algebras via almost flat extensions

Cites Work

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• Non-Noetherian Cohen-Macaulay rings
• Homological properties of the perfect and absolute integral closures of noetherian domains
• On the notion of Cohen-Macaulayness for non-Noetherian rings
• Commutative coherent rings
• Grave hon-noetherlehl
• Grade-Sensitive Modules and Perfect Modules
• Associated primes of local cohomology modules

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