Homological Dimensions and Regular Rings

Alina Iacob; Srikanth B. Iyengar

doi:10.1016/j.jalgebra.2009.08.006

Homological Dimensions and Regular Rings

Alina Iacob, Srikanth B. Iyengar

Mathematical Sciences

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

10 Scopus citations

Abstract

A question of Avramov and Foxby concerning injective dimension of complexes is settled in the affirmative for the class of noetherian rings. A key step in the proof is to recast the problem on hand into one about the homotopy category of complexes of injective modules. Analogous results for flat dimension and projective dimension are also established.

Original language	American English
Journal	Journal of Algebra
Volume	322
DOIs	https://doi.org/10.1016/j.jalgebra.2009.08.006
State	Published - Nov 15 2009

Keywords

Homological dimension
Regular ring
Semi-injective
Semi-projective

DC Disciplines

Mathematics

Access to Document

10.1016/j.jalgebra.2009.08.006License: Unspecified

fulltext.pdfFinal published version, 159 KBLicense: Unspecified

Cite this

@article{2952e721ec594e10989937a81480a0b8,

title = "Homological Dimensions and Regular Rings",

abstract = "A question of Avramov and Foxby concerning injective dimension of complexes is settled in the affirmative for the class of noetherian rings. A key step in the proof is to recast the problem on hand into one about the homotopy category of complexes of injective modules. Analogous results for flat dimension and projective dimension are also established.",

keywords = "Homological dimension, Regular ring, Semi-injective, Semi-projective",

author = "Alina Iacob and Iyengar, {Srikanth B.}",

note = "Alina Iacob and Srikanth B. Iyengar. {"}Homological Dimensions and Regular Rings{"} Journal of Algebra 322.10 (2009): 3451-3458. doi:10.1016/j.jalgebra.2009.08.006 source:http://arxiv.org/abs/0908.2470 Available at: http://works.bepress.com/alina_iacob/27",

year = "2009",

month = nov,

day = "15",

doi = "10.1016/j.jalgebra.2009.08.006",

language = "American English",

volume = "322",

journal = "Journal of Algebra",

issn = "0021-8693",

publisher = "Academic Press Inc.",

}

TY - JOUR

T1 - Homological Dimensions and Regular Rings

AU - Iacob, Alina

AU - Iyengar, Srikanth B.

N1 - Alina Iacob and Srikanth B. Iyengar. "Homological Dimensions and Regular Rings" Journal of Algebra 322.10 (2009): 3451-3458. doi:10.1016/j.jalgebra.2009.08.006 source:http://arxiv.org/abs/0908.2470 Available at: http://works.bepress.com/alina_iacob/27

PY - 2009/11/15

Y1 - 2009/11/15

N2 - A question of Avramov and Foxby concerning injective dimension of complexes is settled in the affirmative for the class of noetherian rings. A key step in the proof is to recast the problem on hand into one about the homotopy category of complexes of injective modules. Analogous results for flat dimension and projective dimension are also established.

AB - A question of Avramov and Foxby concerning injective dimension of complexes is settled in the affirmative for the class of noetherian rings. A key step in the proof is to recast the problem on hand into one about the homotopy category of complexes of injective modules. Analogous results for flat dimension and projective dimension are also established.

KW - Homological dimension

KW - Regular ring

KW - Semi-injective

KW - Semi-projective

U2 - 10.1016/j.jalgebra.2009.08.006

DO - 10.1016/j.jalgebra.2009.08.006

M3 - Article

SN - 0021-8693

VL - 322

JO - Journal of Algebra

JF - Journal of Algebra

ER -

Homological Dimensions and Regular Rings

Abstract

Keywords

DC Disciplines

Access to Document

Fingerprint

Cite this