Balance of Tate cohomology in triangulated categories
Balance of Tate cohomology in triangulated categories
复制标题
三角范畴中泰特上同调的平衡
DOI：
10.1007/s10485-014-9381-8
复制
发表时间：
2015
影响因子：
0.6
通讯作者：
Liu Zhongkui
中科院分区：
文献类型：
--
作者：
Ren Wei;Liu Zhongkui
设是一个三角范畴和一个真三角形类。本文证明了三角化范畴中的Tate上同调是平衡的，即对于任意的整数都存在同构，其中第一个上同调群是通过对的完全投射分解计算的，第二个上同调群是通过对的完全内射上分解计算的.这改进了J. Asadollahi和Sh. Salarian [J. Algebra299，480-502（2006）].
Letbe a triangulated category anda proper class of triangles. We show that Tate cohomology in triangulated category is balanced, i.e. there is an isomorphismfor any integer, where the first cohomology group is computed by complete-projective resolution forand the second one is computed by complete-injective coresolution for. This improves the theorem proposed by J. Asadollahi and Sh. Salarian [J. Algebra299, 480-502 (2006)].