Gorenstein derived functions

Research output: Contribution to journal › Journal article › Research › peer-review

Standard

Gorenstein derived functions. / Holm, Henrik Granau.

In: Proceedings of the American Mathematical Society, Vol. 132, No. 7, 2004, p. 1913-1923.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Holm, HG 2004, 'Gorenstein derived functions', Proceedings of the American Mathematical Society, vol. 132, no. 7, pp. 1913-1923.

APA

Holm, H. G. (2004). Gorenstein derived functions. Proceedings of the American Mathematical Society, 132(7), 1913-1923.

Vancouver

Holm HG. Gorenstein derived functions. Proceedings of the American Mathematical Society. 2004;132(7):1913-1923.

Author

Holm, Henrik Granau. / Gorenstein derived functions. In: Proceedings of the American Mathematical Society. 2004 ; Vol. 132, No. 7. pp. 1913-1923.

Bibtex

@article{378cc068acd849f0b3bcaf5a277ba9e9,
title = "Gorenstein derived functions",
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.",
author = "Holm, {Henrik Granau}",
year = "2004",
language = "English",
volume = "132",
pages = "1913--1923",
journal = "Proceedings of the American Mathematical Society",
issn = "0002-9939",
publisher = "American Mathematical Society",
number = "7",

}

RIS

TY - JOUR

T1 - Gorenstein derived functions

AU - Holm, Henrik Granau

PY - 2004

Y1 - 2004

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

VL - 132

SP - 1913

EP - 1923

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 7

ER -

ID: 41927776