The relative transpose over Cohen-Macaulay finite Artin algebras

Nan Gao

Chinese Annals of Mathematics, Series B ›› 2009, Vol. 30 ›› Issue (3) : 231 -238.

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Chinese Annals of Mathematics, Series B ›› 2009, Vol. 30 ›› Issue (3) : 231 -238. DOI: 10.1007/s11401-008-0227-2
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The relative transpose over Cohen-Macaulay finite Artin algebras

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Abstract

The relative transpose via Gorenstein projective modules is introduced, and some corresponding results on the Auslander-Reiten sequences and the Auslander-Reiten formula to this relative version are generalized.

Keywords

Gorenstein projective module / Cohen-Macaulay finite algebra / Relative transpose / Auslander-Reiten sequence / Auslander-Reiten formula

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Nan Gao. The relative transpose over Cohen-Macaulay finite Artin algebras. Chinese Annals of Mathematics, Series B, 2009, 30(3): 231-238 DOI:10.1007/s11401-008-0227-2

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