论文标题
回忆，Cohen-Macaulay Auslander代数和Gorenstein投射猜想
Recollements, Cohen-Macaulay Auslander algebras and Gorenstein projective conjecture
论文作者
论文摘要
结果表明，CM-FINITE代数的衍生类别的4次卷曲诱导相应的Cohen-Macaulay Auslander代数的2重新卷曲，该代数概括了PAN的主要定理[S. S. Y. Pan，Cohen-Macaulay Auslander代数的衍生等效性，J。PureAppl。代数216（2012），355 {363]。此外，在3（或4）个代数的无限派生类别下，Auslander-Reiten的猜想和Gorenstein投射猜想都不变。
It is shown that a 4-recollement of derived categories of CM-finite algebras induces a 2-recollement of the corresponding Cohen-Macaulay Auslander algebras, which generalises the main theorem of Pan [S. Y. Pan, Derived equivalences for Cohen-Macaulay Auslander algebras, J. Pure Appl. Algebra 216 (2012), 355{363]. Moreover, both Auslander- Reiten conjecture and Gorenstein projective conjecture are shown invariant under 3 (or 4)-recollement of unbounded derived categories of algebras.
