@article{article_598564, title={Copure Submodules and Related Results}, journal={Cankaya University Journal of Science and Engineering}, volume={16}, pages={10–15}, year={2019}, author={Farshadıfar, Faranak}, keywords={Pure submodule,copure submodule‎,Copure sum property}, abstract={<p> <br /> </p> <p style="margin-bottom:0px;"> <span lang="en-us" style="font-size:9pt;font-family:NimbusRomNo9L, serif;" xml:lang="en-us">Let <i>M </i>be a module over a commutative ring <i>R </i>with identity. A
submodule <i>K </i>of <i>M </i>is copure provided that </span> <span lang="en-us" style="font-size:9pt;font-family:CMR10, serif;" xml:lang="en-us">( </span> <i> <span lang="en-us" style="font-size:9pt;font-family:NimbusRomNo9L, serif;" xml:lang="en-us">K </span> </i> <span lang="en-us" style="font-size:9pt;font-family:NimbusRomNo9L, serif;" xml:lang="en-us">: </span> <i> <span lang="en-us" style="font-size:7pt;font-family:NimbusRomNo9L, serif;" xml:lang="en-us">M </span> <span lang="en-us" style="font-size:9pt;font-family:NimbusRomNo9L, serif;" xml:lang="en-us">I </span> </i> <span lang="en-us" style="font-size:9pt;font-family:CMR10, serif;" xml:lang="en-us">) = </span> <i> <span lang="en-us" style="font-size:9pt;font-family:NimbusRomNo9L, serif;" xml:lang="en-us">K </span> </i> <span lang="en-us" style="font-size:9pt;font-family:CMR10, serif;" xml:lang="en-us">+ ( </span> <span lang="en-us" style="font-size:9pt;font-family:NimbusRomNo9L, serif;" xml:lang="en-us">0 : </span> <i> <span lang="en-us" style="font-size:7pt;font-family:NimbusRomNo9L, serif;" xml:lang="en-us">M </span> <span lang="en-us" style="font-size:9pt;font-family:NimbusRomNo9L, serif;" xml:lang="en-us">I </span> </i> <span lang="en-us" style="font-size:9pt;font-family:CMR10, serif;" xml:lang="en-us">) </span> <span lang="en-us" style="font-size:9pt;font-family:NimbusRomNo9L, serif;" xml:lang="en-us">for
each ideal <i>I </i>of <i>R </i>. In this paper, we investigate some results
about copure submodules of <i>M </i>.  </span> <br /> </p>}, number={2}, publisher={Cankaya University}