Jianmin Xing and Rufeng Xing
Relative Injective Modules and Relative Flat Modules
365 - 372
2014
8
2
International Journal of Mathematical and Computational Sciences
https://publications.waset.org/pdf/9997594
https://publications.waset.org/vol/86
World Academy of Science, Engineering and Technology
Let R be a ring, n a fixed nonnegative integer. The concepts of (n, 0)FIinjective and (n, 0)FIflat modules, and then give some characterizations of these modules over left ncoherent rings are introduced . In addition, we investigate the left and right nFIresolutions of Rmodules by left (right) derived functors Extn(−,−) (Torn(−,−) ) over a left ncoherent ring, where nFI stands for the categories of all (n, 0) injective left Rmodules. These modules together with the left or right derived functors are used to study the (n, 0)injective dimensions of modules and rings.
Open Science Index 86, 2014