Cohen–Macaulayness of Rees Algebras of Modules

Kuei Nuan Lin

doi:10.1080/00927872.2015.1086925

Cohen–Macaulayness of Rees Algebras of Modules

Kuei Nuan Lin

Penn State Greater Allegheny

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1 Scopus citations

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)
Pages (from-to)	3673-3682
Number of pages	10
Journal	Communications in Algebra
Volume	44
Issue number	9
DOIs	https://doi.org/10.1080/00927872.2015.1086925
State	Published - Sep 1 2016

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All Science Journal Classification (ASJC) codes

Algebra and Number Theory

Cite this

Lin, K. N. (2016). Cohen–Macaulayness of Rees Algebras of Modules. Communications in Algebra, 44(9), 3673-3682. https://doi.org/10.1080/00927872.2015.1086925

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Access to Document

10.1080/00927872.2015.1086925