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

Research output: Contribution to journal › Article › peer-review

2 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

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

Access to Document

10.1080/00927872.2015.1086925

Cite this

@article{51f1d43f00f040a49b83123ec7c6c0cd,

title = "Cohen–Macaulayness of Rees Algebras of Modules",

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.",

author = "Lin, {Kuei Nuan}",

year = "2016",

month = sep,

day = "1",

doi = "10.1080/00927872.2015.1086925",

language = "English (US)",

volume = "44",

pages = "3673--3682",

journal = "Communications in Algebra",

issn = "0092-7872",

publisher = "Taylor and Francis Ltd.",

number = "9",

}

TY - JOUR

T1 - Cohen–Macaulayness of Rees Algebras of Modules

AU - Lin, Kuei Nuan

PY - 2016/9/1

Y1 - 2016/9/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84976319522&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84976319522&partnerID=8YFLogxK

U2 - 10.1080/00927872.2015.1086925

DO - 10.1080/00927872.2015.1086925

M3 - Article

AN - SCOPUS:84976319522

VL - 44

SP - 3673

EP - 3682

JO - Communications in Algebra

JF - Communications in Algebra

SN - 0092-7872

IS - 9

ER -

Cohen–Macaulayness of Rees Algebras of Modules

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this