Cohen–Macaulayness of trivial extensions

DOI10.1142/S0219498818500081zbMath1403.13018arXiv1701.08489OpenAlexW3099676237MaRDI QIDQ4599700

Parviz Sahandi, A. Mahdikhani, Nematollah Shirmohammadi

Publication date: 4 January 2018

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

Full work available at URL: https://arxiv.org/abs/1701.08489

zbMATH Keywords

Cohen-Macaulay moduletrivial extensionnon-Noetherian ringparameter sequence

Mathematics Subject Classification ID

Cohen-Macaulay modules (13C14) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (3)

Cohen-Macaulayness of amalgamated algebras ⋮ Artinian ring and amalgamated algebra along an ideal ⋮ A Survey on Algebraic and Homological Properties of Amalgamated Algebras of Commutative Rings

Cites Work

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• Idealization of a module
• Non-Noetherian Cohen-Macaulay rings
• On the notion of Cohen-Macaulayness for non-Noetherian rings
• Almost Bézout domains
• Amalgamated algebras along an ideal
• Grave hon-noetherlehl
• Proregular sequences, local cohomology, and completion
• Grade-Sensitive Modules and Perfect Modules

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