International Journal of Statistics and Applied Mathematics
2020, Vol. 5, Issue 3, Part A
Purity relative to a cyclic moduleAuthor(s):
Ashok Kumar PandeyAbstract: We study relative projectivity and injectivity classes of exact sequences with respect to the classes of cyclic modules. A characterization of cyclic pure exact sequences has given in terms of exactness of a certain sequence of submodules of the modules appearing in the given sequence. We also study the concept of relative divisibility of elements in submodules (known as - purity). We
give the generalization of the proposition of Stenstrom. We characterize the preservation of exactness by cyclic modules where be a left ideal of the ring . We also relate the purity in Quasi- projective module 
. We also try to define Copure for a class of modules and co-relate Copure injective or Copure projective with it. We derive some results dualize certain results of R.B. Warfield.Pages: 55-58 | Views: 14 | Downloads: 5Download Full Article: Click Here
How to cite this article:
Ashok Kumar Pandey. Purity relative to a cyclic module. International Journal of Statistics and Applied Mathematics. 2020; 5(3): 55-58.