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- Title
On Right Orthogonal Classes and Cohomology Over Ding-Chen Rings.
- Authors
Zhao, Tiwei; Xu, Yunge
- Abstract
In this paper, we investigate the properties of right orthogonal modules of $${{\mathscr {C}}}$$ , where $${{\mathscr {C}}}$$ is a class of left R-modules. As an application, we investigate the properties of right orthogonal modules of Ding injective left R-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.
- Subjects
COHOMOLOGY theory; INJECTIVE functions; MODULES (Algebra); VON Neumann regular rings; NOETHERIAN rings
- Publication
Bulletin of the Malaysian Mathematical Sciences Society, 2017, Vol 40, Issue 2, p617
- ISSN
0126-6705
- Publication type
Article
- DOI
10.1007/s40840-017-0461-4