Cohen–Macaulayness of Rees Algebras of Modules

DOI10.1080/00927872.2015.1086925zbMath1360.13014arXiv1502.06584OpenAlexW1509291517MaRDI QIDQ2817180

Kuei-Nuan Lin

Publication date: 29 August 2016

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

Full work available at URL: https://arxiv.org/abs/1502.06584

zbMATH Keywords

analytic spreaddepthCohen-Macaulaylinear typeRees algebra of a modulegeneric Bourbaki ideal

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Cohen-Macaulay modules (13C14) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (4)

On Rees algebras of ideals and modules over hypersurface rings ⋮ Residual intersections and modules with Cohen-Macaulay Rees algebra ⋮ Multi-Rees algebras and toric dynamical systems ⋮ On the Cohen-Macaulay property of the Rees algebra of the module of differentials

Cites Work

• Properties of Noetherian rings stable under general grade reduction
• On the depth of the Rees algebra of an ideal module
• An algebraic proof of Zak's inequality for the dimension of the Gauss image
• Sur les algèbres universelles
• Rees Algebras of Modules
• What is the Rees algebra of a module?
• Cohen-Macaulay graded rings associated to ideals

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