论文标题
不变和戈伦斯坦射影模块
Invariants and Gorenstein projective modules
论文作者
论文摘要
就代数A上的Gorenstein投射A模块和稳定等价的稳定类别的回忆而言，不变性。具体而言，引入了Gorenstein刚性维度。结果表明，戈伦斯坦刚度维度相对于莫里塔等价和戈伦斯坦射影模块的稳定等价而言都是不变的。结果，Gorenstein刚度的维度显示为派生的等效性的不变。比较了戈伦斯坦刚性维度，沿Gorenstein投射模块的稳定类别的回忆进行了比较。此外，分别为几类代数给出了Gorenstein刚性维度的边界。
Invariants with respect to recollements of the stable category of Gorenstein projective A-modules over an algebra A and stable equivalences are investigated. Specifically, the Gorenstein rigidity dimension is introduced. It is shown that the Gorenstein rigidity dimension is invariant with respect to both Morita equivalences and the stable equivalences of Gorenstein projective modules. As a consequence, the Gorenstein rigidity dimension is shown the invariant of derived equivalences. The Gorenstein rigidity dimension is compared along the recollements of the stable category of Gorenstein projective modules. Moreover, the bounds of Gorenstein rigidity dimension is given for several classes of algebras, respectively.
