Recollements of Derived Categories of Gorenstein Algebras

Journal of Qujing Normal University ›› 2020, Vol. 39 ›› Issue (6): 1-4.

Recollements of Derived Categories of Gorenstein Algebras

QIN Yongyun

School of Mathematics and Statistics,Qujing Normal University, Qujing Yunnan 655011, P. R. China

Received:2020-10-27 Online:2020-11-26 Published:2021-01-13

Abstract

Abstract: This paper mainly studies Recollements of derived categories of Gorenstein algebras.Let A and C be Gorenstein algebras,it is proved that a 2-recollemet of the derived categories (DB, DA, DC) can be completed to an unbounded ladder. This recollement induces an unbounded ladder of period 2 between their stable categories of Gorenstein projective modules.

Key words: Gorenstein algebras, derived category, recollement, ladder, Gorenstein projective module

CLC Number:

O154.1

QIN Yongyun. Recollements of Derived Categories of Gorenstein Algebras[J]. Journal of Qujing Normal University, 2020, 39(6): 1-4.

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