A characterization of hereditary categories with tilting object
A characterization of hereditary categories with tilting object
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DOI：
10.1007/s002220100135
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发表时间：
2001-05
影响因子：
3.1
通讯作者：
D. Happel
中科院分区：
文献类型：
--
作者：
D. Happel
设k是代数闭域，H是连通阿贝尔范畴。我们假设H是遗传的，即米田Ext 2（-，-）为零，并且我们假设H有有限维同态和扩张空间。此外，H有一个倾斜的对象，即具有Ext 1的某个对象T
Letk be an algebraically closed field andH a connected abeliank− category. We assume that H is hereditary, that is the Yoneda Ext2 (−,−) vanishes, and we assume that H has finite dimensional homomorphism and extension spaces. In addition H has a tilting object, that is some object T with Ext1