The Relative Transpose over Cohen-Macaulay Finite Artin Algebras

Citation:

Nan GAO.The Relative Transpose over Cohen-Macaulay Finite Artin Algebras[J].Chinese Annals of Mathematics B,2009,30(3):231~238
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Authors:

Nan GAO;

Foundation:

the National Natural Science Foundation of China (No. 10725104), the Natural Science Foundation of Shanghai (No. ZR0614049) and the Shanghai Leading Academic Discipline Project (No. S30104).
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

Classification:

16G10
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