Papers

Topics

Authors

Recent

View all

Assistant

AI Research Assistant

Well-researched responses based on relevant abstracts and paper content.

Custom Instructions Pro

Preferences or requirements that you'd like Emergent Mind to consider when generating responses.

Gemini 2.5 Flash

Gemini 2.5 Flash 54 tok/s

Gemini 2.5 Pro 54 tok/s Pro

GPT-5 Medium 22 tok/s Pro

GPT-5 High 25 tok/s Pro

GPT-4o 99 tok/s Pro

Kimi K2 196 tok/s Pro

GPT OSS 120B 333 tok/s Pro

Claude Sonnet 4.5 34 tok/s Pro

2000 character limit reached

Cohen-Macaulayness of Rees Algebras of Modules (1502.06584v1)

Published 23 Feb 2015 in math.AC

Abstract: We provide the sufficient conditions for Rees algebras of modules to be Cohen-Macaulay, which has been proven in the case of Rees algebras of ideals by Johnson-Ulrich and Goto-Nakamura-Nishida. As it turns out the generalization from ideals to modules is not just a routine generalization, but requires a great deal of technical development. We use the technique of generic Bourbaki ideals introduced by Simis, Ulrich and Vasconcelos to obtain the Cohen-Macaulayness of Rees Algebras of modules.