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- Publisher
- Springer Journals
- Copyright
- Copyright © 2017 by Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia
- Subject
- Mathematics; Mathematics, general; Applications of Mathematics
- ISSN
- 0126-6705
- eISSN
- 2180-4206
- DOI
- 10.1007/s40840-017-0461-4
- Publisher site
- See Article on Publisher Site
Abstract
In this paper, we investigate the properties of right orthogonal modules of $${{\mathscr {C}}}$$ C , where $${{\mathscr {C}}}$$ 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.
Journal
Bulletin of the Malaysian Mathematical Sciences Society – Springer Journals
Published: Feb 13, 2017