On Pure Multiplication Modules | ||
| journal of al-qadisiyah for pure science(quarterly) | ||
| Article 1, Volume 16, Issue 4, December 2016, Pages 10-17 PDF (0 K) | ||
| Authors | ||
| ; ar Younis Ghawi | ||
| Abstract | ||
| Let R be a commutative ring with identity and M be a unitary left R-module. A submodule N of an R-module M is called pure if, IN N IM for all ideal I of R. In this paper, we shall investigate and study some various properties of the concept of pure multiplication modules, which is appeared in [3] as a proper generalization of multiplication modules, where an R-module M is called pure multiplication if for every pure submodule N of M there exists an ideal I of R such that N IM . We give a number of results concerning pure multiplication modules. Also, we discussed some properties of pure submodules of pure multiplication modules. | ||
| Keywords | ||
| Pure Multiplication Modules; Pure Submodules; Cancellation Modules | ||
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