Gorenstein derived functions

Henrik Granau Holm

Gorenstein derived functions

52 Citationer (Scopus)

239 Downloads (Pure)

Abstract

Over any associative ring R it is standard to derive HomR(􀀀;􀀀) using projective resolutions in the rst variable, or injective resolutions in the second variable, and doing this, one obtains Extn R(􀀀;􀀀) in both cases. We examine the situation where projective and injective modules are replaced by Gorenstein projective and Gorenstein injective ones, respectively. Furthermore, we derive the tensor product 􀀀 R 􀀀 using Gorenstein at modules.

Originalsprog	Engelsk
Tidsskrift	Proceedings of the American Mathematical Society
Vol/bind	132
Udgave nummer	7
Sider (fra-til)	1913-1923
ISSN	0002-9939
Status	Udgivet - 2004

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Citationsformater

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N2 - Over any associative ring R it is standard to derive HomR(􀀀;􀀀) using projective resolutions in the rst variable, or injective resolutions in the second variable, and doing this, one obtains Extn R(􀀀;􀀀) in both cases. We examine the situation where projective and injective modules are replaced by Gorenstein projective and Gorenstein injective ones, respectively. Furthermore, we derive the tensor product 􀀀 R 􀀀 using Gorenstein at modules.

AB - Over any associative ring R it is standard to derive HomR(􀀀;􀀀) using projective resolutions in the rst variable, or injective resolutions in the second variable, and doing this, one obtains Extn R(􀀀;􀀀) in both cases. We examine the situation where projective and injective modules are replaced by Gorenstein projective and Gorenstein injective ones, respectively. Furthermore, we derive the tensor product 􀀀 R 􀀀 using Gorenstein at modules.

M3 - Journal article

SN - 0002-9939

VL - 132

SP - 1913

EP - 1923

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 7

ER -