论文标题
Gorenstein Silting模块和Gorenstein投射模块
Gorenstein silting modules and Gorenstein projective modules
论文作者
论文摘要
（部分）戈伦斯坦淤积模块被引入和研究。结果表明，对于有限CM型的有限维代数，部分Gorenstein Silting模块与τ_g-rigid模块进行了培养。 Gorenstein Silting模块是2-期Gorenstein Silting复合物的模块理论对应物。以及模块类别中的两项戈伦斯坦淤积复合物，T结构和扭转对之间的关系。此外，在这种情况下，经典的Brenner-Butler定理的相应版本是特征的。以及在代数A上的2-期戈伦斯坦silting复合物的内态代数的全局尺寸的上限也以A.的Gorenstein全球维度的术语为特征。
(Partial) Gorenstein silting modules are introduced and investigated. It is shown that for finite dimensional algebras of finite CM-type, partial Gorenstein silting modules are in bijection with τ_G-rigid modules; Gorenstein silting modules are the module-theoretic counterpart of 2-term Gorenstein silting complexes; and the relation between 2-term Gorenstein silting complexes, t-structures and torsion pairs in module categories. Furthermore, the corresponding version of the classical Brenner-Butler theorem in this setting are characterised; and the upper bound of the global dimension of endomorphism algebras of 2-term Gorenstein silting complexes over an algebra A are also characterised by terms of the Gorenstein global dimension of A.
