Multiplicities of indecomposable injectives

Amnon Yekutieli; James J. Zhang

doi:10.1112/S002461070400571X

Multiplicities of indecomposable injectives

Amnon Yekutieli, James J. Zhang

Department of Mathematics

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

4 Scopus citations

Abstract

Several results about the multiplicities of indecomposable injectives in the minimal injective resolution of a ring exist in the literature. Mostly these apply to universal enveloping algebras of finite dimensional solvable Lie algebras, and to Gorenstein noetherian PI local rings. These results are unified and extended to the much wider class of rings with Auslander dualizing complexes.

Original language	English
Pages (from-to)	100-120
Number of pages	21
Journal	Journal of the London Mathematical Society
Volume	71
Issue number	1
DOIs	https://doi.org/10.1112/S002461070400571X
State	Published - 1 Jan 2005

ASJC Scopus subject areas

Mathematics (all)

Access to Document

10.1112/S002461070400571X

Cite this

@article{06777ccbc79540f5840c7d4419f1e235,

title = "Multiplicities of indecomposable injectives",

abstract = "Several results about the multiplicities of indecomposable injectives in the minimal injective resolution of a ring exist in the literature. Mostly these apply to universal enveloping algebras of finite dimensional solvable Lie algebras, and to Gorenstein noetherian PI local rings. These results are unified and extended to the much wider class of rings with Auslander dualizing complexes.",

author = "Amnon Yekutieli and Zhang, {James J.}",

note = "Funding Information: Both authors were supported by the US–Israel Binational Science Foundation. The second author was also supported by the NSF, a Sloan Research Fellowship, and the Royalty Research Fund of the University of Washington.",

year = "2005",

month = jan,

day = "1",

doi = "10.1112/S002461070400571X",

language = "English",

volume = "71",

pages = "100--120",

journal = "Journal of the London Mathematical Society",

issn = "0024-6107",

publisher = "John Wiley and Sons Ltd",

number = "1",

}

TY - JOUR

T1 - Multiplicities of indecomposable injectives

AU - Yekutieli, Amnon

AU - Zhang, James J.

N1 - Funding Information: Both authors were supported by the US–Israel Binational Science Foundation. The second author was also supported by the NSF, a Sloan Research Fellowship, and the Royalty Research Fund of the University of Washington.

PY - 2005/1/1

Y1 - 2005/1/1

N2 - Several results about the multiplicities of indecomposable injectives in the minimal injective resolution of a ring exist in the literature. Mostly these apply to universal enveloping algebras of finite dimensional solvable Lie algebras, and to Gorenstein noetherian PI local rings. These results are unified and extended to the much wider class of rings with Auslander dualizing complexes.

AB - Several results about the multiplicities of indecomposable injectives in the minimal injective resolution of a ring exist in the literature. Mostly these apply to universal enveloping algebras of finite dimensional solvable Lie algebras, and to Gorenstein noetherian PI local rings. These results are unified and extended to the much wider class of rings with Auslander dualizing complexes.

UR - http://www.scopus.com/inward/record.url?scp=33644614388&partnerID=8YFLogxK

U2 - 10.1112/S002461070400571X

DO - 10.1112/S002461070400571X

M3 - Article

AN - SCOPUS:33644614388

SN - 0024-6107

VL - 71

SP - 100

EP - 120

JO - Journal of the London Mathematical Society

JF - Journal of the London Mathematical Society

IS - 1

ER -

Multiplicities of indecomposable injectives

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this