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 in [11] and [4]. 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 [14] to obtain the Cohen–Macaulayness of Rees Algebras of modules.
Original language | English (US) |
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Pages (from-to) | 3673-3682 |
Number of pages | 10 |
Journal | Communications in Algebra |
Volume | 44 |
Issue number | 9 |
DOIs | |
State | Published - Sep 1 2016 |
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory