Gorenstein homological dimensions

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Gorenstein homological dimensions. / Holm, Henrik Granau.

In: Journal of Pure and Applied Algebra, Vol. 189, No. 1, 2004, p. 167-193.

Research output: Contribution to journalJournal articlepeer-review

Harvard

Holm, HG 2004, 'Gorenstein homological dimensions', Journal of Pure and Applied Algebra, vol. 189, no. 1, pp. 167-193.

APA

Holm, H. G. (2004). Gorenstein homological dimensions. Journal of Pure and Applied Algebra, 189(1), 167-193.

Vancouver

Holm HG. Gorenstein homological dimensions. Journal of Pure and Applied Algebra. 2004;189(1):167-193.

Author

Holm, Henrik Granau. / Gorenstein homological dimensions. In: Journal of Pure and Applied Algebra. 2004 ; Vol. 189, No. 1. pp. 167-193.

Bibtex

@article{5d3107bcedd54bf1a8e0219d145ab2f8,
title = "Gorenstein homological dimensions",
abstract = "In basic homological algebra, the projective, injective and 2at dimensions of modules play an important and fundamental role. In this paper, the closely related Gorenstein projective, Gorenstein injective and Gorenstein 2at dimensions are studied. There is a variety of nice results about Gorenstein dimensions over special commutative noetherian rings; very often local Cohen–Macaulay rings with a dualizing module. These results are done by Avramov, Christensen, Enochs, Foxby, Jenda, Martsinkovsky and Xu among others. The aim of this paper is to generalize these results, and to give homological descriptions of the Gorenstein dimensions over arbitrary associative rings. ",
author = "Holm, {Henrik Granau}",
year = "2004",
language = "English",
volume = "189",
pages = "167--193",
journal = "Journal of Pure and Applied Algebra",
issn = "0022-4049",
publisher = "Elsevier BV * North-Holland",
number = "1",

}

RIS

TY - JOUR

T1 - Gorenstein homological dimensions

AU - Holm, Henrik Granau

PY - 2004

Y1 - 2004

N2 - In basic homological algebra, the projective, injective and 2at dimensions of modules play an important and fundamental role. In this paper, the closely related Gorenstein projective, Gorenstein injective and Gorenstein 2at dimensions are studied. There is a variety of nice results about Gorenstein dimensions over special commutative noetherian rings; very often local Cohen–Macaulay rings with a dualizing module. These results are done by Avramov, Christensen, Enochs, Foxby, Jenda, Martsinkovsky and Xu among others. The aim of this paper is to generalize these results, and to give homological descriptions of the Gorenstein dimensions over arbitrary associative rings.

AB - In basic homological algebra, the projective, injective and 2at dimensions of modules play an important and fundamental role. In this paper, the closely related Gorenstein projective, Gorenstein injective and Gorenstein 2at dimensions are studied. There is a variety of nice results about Gorenstein dimensions over special commutative noetherian rings; very often local Cohen–Macaulay rings with a dualizing module. These results are done by Avramov, Christensen, Enochs, Foxby, Jenda, Martsinkovsky and Xu among others. The aim of this paper is to generalize these results, and to give homological descriptions of the Gorenstein dimensions over arbitrary associative rings.

M3 - Journal article

VL - 189

SP - 167

EP - 193

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

SN - 0022-4049

IS - 1

ER -

ID: 41927156