en و موضوعات مربوط Other Related Subject پژوهشي Research <span style="FONT-SIZE: 11pt FONT-FAMILY: "Times New Roman" mso-fareast-font-family: 'Times New Roman' mso-ansi-language: EN-US mso-fareast-language: EN-US mso-bidi-language: FA">Let<span style="POSITION: relative TOP: 2pt mso-text-raise: -2.0pt"><shapetype id="_x0000_t75" stroked="f" filled="f" path="m@4@5l@4@11@9@11@9@5xe" o:preferrelative="t" o:spt="75" coordsize="21600,21600"><font size="3"><font face="Times New Roman"> <stroke joinstyle="miter" ><formulas><f eqn="if lineDrawn pixelLineWidth 0" ><f eqn="sum @0 1 0" ><f eqn="sum 0 0 @1" ><f eqn="prod @2 1 2" ><f eqn="prod @3 21600 pixelWidth" ><f eqn="prod @3 21600 pixelHeight" ><f eqn="sum @0 0 1" ><f eqn="prod @6 1 2" ><f eqn="prod @7 21600 pixelWidth" ><f eqn="sum @8 21600 0" ><f eqn="prod @7 21600 pixelHeight" ><f eqn="sum @10 21600 0" ></formulas><p ath o:connecttype="rect" gradientshapeok="t" o:extrusionok="f" ><lock aspectratio="t" v:ext="edit" ></font></font></shapetype><shape id="_x0000_i1025" style="WIDTH: 12.75pt HEIGHT: 12pt" type="#_x0000_t75"><imagedata src="file:///C:DOCUME~1GEIGI2~1LOCALS~1Tempmsohtml11clip_image001.wmz" ></shape></span><font face="Times New Roman"><span style="mso-spacerun: yes"><font size="3"> </font></span>be a commutative ring and </font><span style="POSITION: relative TOP: 2pt mso-text-raise: -2.0pt"><shape id="_x0000_i1026" style="WIDTH: 15.75pt HEIGHT: 12pt" type="#_x0000_t75"><imagedata src="file:///C:DOCUME~1GEIGI2~1LOCALS~1Tempmsohtml11clip_image003.wmz" ></shape></span><font face="Times New Roman"><span style="mso-spacerun: yes"><font size="3"> </font></span>be a unitary </font><span style="POSITION: relative TOP: 2pt mso-text-raise: -2.0pt"><shape id="_x0000_i1027" style="WIDTH: 12pt HEIGHT: 12pt" type="#_x0000_t75"><imagedata src="file:///C:DOCUME~1GEIGI2~1LOCALS~1Tempmsohtml11clip_image005.wmz" ></shape></span><font face="Times New Roman"><span style="mso-spacerun: yes"><font size="3"> </font></span>module. We define a semi prime sub module of a module and consider various properties of it. Also we define semi-radical of a sub module of a module and give a number of its properties. We define modules which satisfy the semi-radical formula </font></span><span style="FONT-SIZE: 11pt FONT-FAMILY: "Times New Roman" mso-fareast-font-family: 'Times New Roman' mso-ansi-language: EN-US mso-fareast-language: EN-US mso-bidi-language: AR-SA"><span style="POSITION: relative TOP: 6pt mso-text-raise: -6.0pt"><shape id="_x0000_i1028" style="WIDTH: 54pt HEIGHT: 17.25pt" type="#_x0000_t75"><imagedata src="file:///C:DOCUME~1GEIGI2~1LOCALS~1Tempmsohtml11clip_image007.wmz" ></shape></span></span><span style="FONT-SIZE: 11pt FONT-FAMILY: "Times New Roman" mso-fareast-font-family: 'Times New Roman' mso-ansi-language: EN-US mso-fareast-language: EN-US mso-bidi-language: FA">and present the existence of such a module.</span> Prime sub module, semi prime sub module, radical and semi- radical of a module, modules satisfying the semi-radical formula 21 27 http://ijiepr.iust.ac.ir/browse.php?a_code=A-10-1-109&slc_lang=en&sid=1 Hamid Tavallaee tavallaee@iust.ac.ir, 18003194753284600595 18003194753284600595 Yes Rezvan Hamid A. Tavallaee and Rezvan. Varmazyar varmazyar@ iust.ac.ir 18003194753284600664 18003194753284600664 No