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