International Journal of Science and Research (IJSR)
www.ijsr.net | Most Trusted Research Journal Since Year 2012

Research Paper | Mathematics | Iraq | Volume 7 Issue 1, January 2018

Semiannihilator Small Submodules

Sahira M. Yaseen

Let R be an associative ring with non-zero identity and M be a left R-module. A submodule N of M is called semiannihilator small (sa-small), if for every submodule L of M with N+L=M, then ann (L) R. The properties of sa-small submodules have been studied. The sum of sa-small submodules is studied. Moreover, we introduce the concepts semiannihilator -hollow modules. We give many properties related with this type of modules.

Keywords: semiannihilator small submodule, semiannihilator -hollow modules

Edition: Volume 7 Issue 1, January 2018

Pages: 955 - 958

How to Cite this Article?

Sahira M. Yaseen, "Semiannihilator Small Submodules", International Journal of Science and Research (IJSR), https://www.ijsr.net/search_index_results_paperid.php?id=ART20179512, Volume 7 Issue 1, January 2018, 955 - 958