On Right Orthogonal Classes and Cohomology Over Ding-Chen Rings
On Right Orthogonal Classes and Cohomology Over Ding-Chen Rings
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关于丁陈环上的右正交类和上同调
DOI：
10.1007/s40840-017-0461-4
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发表时间：
2017
影响因子：
1.2
通讯作者：
Xu Yunge
中科院分区：
文献类型：
--
作者：
Zhao Tiwei;Xu Yunge
本文研究了一类左R-模的右正交模的性质。作为应用，我们研究了Ding内射左R-模的右正交模的性质，给出了半单环和von Neumann正则环等的各种刻画，并考虑了另一个上同调，强Tate上同调，它将通常的上同调与Ding上同调联系起来.
In this paper, we investigate the properties of right orthogonal modules of, whereis a class of leftR-modules. As an application, we investigate the properties of right orthogonal modules of Ding injective leftR-modules, and present various characterizations of semisimple and von Neumann regular rings and so on. Moreover, we also consider another cohomology, strong Tate cohomology, which connects the usual cohomology with the Ding cohomology.