International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Call for Papers | Fully Refereed | Open Access | Double Blind Peer Reviewed

ISSN: 2319-7064

Downloads: 128 | Views: 159

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

Semiannihilator Small Submodules

Sahira M. Yaseen [2]

Abstract: 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

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