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


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Research Paper | Mathematics | Iraq | Volume 7 Issue 1, January 2018 | Popularity: 6.1 / 10


     

Semiannihilator Small Submodules

Sahira M. Yaseen


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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Sahira M. Yaseen, "Semiannihilator Small Submodules", International Journal of Science and Research (IJSR), Volume 7 Issue 1, January 2018, pp. 955-958, URL: https://www.ijsr.net/getabstract.php?paperid=ART20179512, DOI: https://www.doi.org/10.21275/ART20179512



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