Left triangulated categories arising from contravariantly finite subcategories
Left triangulated categories arising from contravariantly finite subcategories
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DOI：
10.1080/00927879408825119
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发表时间：
1994
影响因子：
0.7
通讯作者：
Apostolos Beligiannis;N. Marmaridis
中科院分区：
文献类型：
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作者：
Apostolos Beligiannis;N. Marmaridis
令 modA 为 artin 代数 ⋀ 上有限生成的右 A 模的范畴，F 为 的加性子函子。令 P(F) 表示 A 与 F 射影模的对象的完整子范畴。如果函子 F 有足够的 F-射影，那么我们证明稳定范畴 mod p(F)⋀ 具有左三角结构。在情况 中，上述陈述意味着稳定范畴 mod p⋀ 具有左三角结构。 F-内射模情况的双重陈述也成立
Let modA be the category of finitely generated right A-modules over an artin algebra ⋀, and F be an additive subfunctor of . Let P(F) denote the full sucategory of A with objects the F-projective modules. If the functor F has enough F- projectives, then we show that the stable category mod p(F)⋀ has a left triangulated structure. In case , the above statement implies that the stable category mod p⋀ has a left triangulated structure. Dual statements for the case of F-injective modules are also true