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

University of Nebraska–Lincoln

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

11 Scopus citations

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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	English
Pages (from-to)	3451-3458
Number of pages	8
Journal	Journal of Algebra
Volume	322
Issue number	10
DOIs	https://doi.org/10.1016/j.jalgebra.2009.08.006
State	Published - Nov 15 2009

Scopus Subject Areas

Algebra and Number Theory

Keywords

Homological dimension
Regular ring
Semi-injective
Semi-projective

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10.1016/j.jalgebra.2009.08.006

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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.}",

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AU - Iacob, Alina

AU - Iyengar, Srikanth B.

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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

UR - http://www.scopus.com/inward/record.url?scp=70349792293&partnerID=8YFLogxK

U2 - 10.1016/j.jalgebra.2009.08.006

DO - 10.1016/j.jalgebra.2009.08.006

M3 - Article

SN - 0021-8693

VL - 322

SP - 3451

EP - 3458

JO - Journal of Algebra

JF - Journal of Algebra

IS - 10

ER -

Homological dimensions and regular rings

Abstract

Scopus Subject Areas

Keywords

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