{"id":33446,"date":"2020-10-06T12:24:05","date_gmt":"2020-10-06T09:24:05","guid":{"rendered":"http:\/\/ihcoedu.uobaghdad.edu.iq\/?p=33446"},"modified":"2020-10-11T10:01:09","modified_gmt":"2020-10-11T07:01:09","slug":"33446","status":"publish","type":"post","link":"https:\/\/ihcoedu.uobaghdad.edu.iq\/?p=33446","title":{"rendered":"\u0642\u0633\u0645 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u064a\u0646\u0627\u0642\u0634 \u0631\u0633\u0627\u0644\u0629 \u0645\u0627\u062c\u0633\u062a\u064a\u0631 \u062a\u0628\u062d\u062b \u0641\u064a \u0627\u0639\u0645\u0627\u0645\u0627\u062a \u0627\u0644\u0645\u0641\u0627\u0647\u064a\u0645 \u0627\u0644\u0631\u062f\u064a\u0641\u0629 \u0644\u0644\u0645\u0642\u0627\u0633\u0627\u062a \u0627\u0644\u062c\u0632\u0626\u064a\u0629 \u0627\u0644\u0627\u0648\u0644\u064a\u0629 \u0648\u0627\u0644\u0627\u0628\u062a\u062f\u0627\u0626\u064a\u0629"},"content":{"rendered":"

<\/h4>\n

\"\"<\/span><\/h4>\n

\u0646\u0627\u0642\u0634 \u0642\u0633\u0645 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0641\u064a \u0643\u0644\u064a\u0629 \u0627\u0644\u062a\u0631\u0628\u064a\u0629 \u0644\u0644\u0639\u0644\u0648\u0645 \u0627\u0644\u0635\u0631\u0641\u0629 ( \u0627\u0628\u0646 \u0627\u0644\u0647\u064a\u062b\u0645) \u0631\u0633\u0627\u0644\u0629 \u0627\u0644\u0645\u0627\u062c\u0633\u062a\u064a\u0631 \u0627\u0644\u0645\u0648\u0633\u0648\u0645\u0629 ( \u0627\u0639\u0645\u0627\u0645\u0627\u062a \u0627\u0644\u0645\u0641\u0627\u0647\u064a\u0645 \u0627\u0644\u0631\u062f\u064a\u0641\u0629 \u0644\u0644\u0645\u0642\u0627\u0633\u0627\u062a \u0627\u0644\u062c\u0632\u0626\u064a\u0629 \u0627\u0644\u0627\u0648\u0644\u064a\u0629 \u0648\u0627\u0644\u0627\u0628\u062a\u062f\u0627\u0626\u064a\u0629 ) \u0644\u0644\u0637\u0627\u0644\u0628\u0629 (\u0632\u064a\u0646\u0628 \u0633\u0639\u062f\u064a \u0643\u0627\u0638\u0645 ) \u0627\u0644\u062a\u064a \u0627\u0646\u062c\u0632\u062a\u0647\u0627 \u062a\u062d\u062a \u0627\u0634\u0631\u0627\u0641 \u0627\u0644\u062a\u062f\u0631\u064a\u0633\u064a \u0641\u064a \u0627\u0644\u0642\u0633\u0645 (\u0645.\u062f. \u063a\u0627\u0644\u0628 \u0627\u062d\u0645\u062f \u062d\u0645\u0648\u062f ) \u0648\u0646\u0648\u0642\u0634\u062a \u0645\u0646 \u0642\u0628\u0644 \u0627\u0639\u0636\u0627\u0621 \u0644\u062c\u0646\u0629 \u0627\u0644\u0645\u0646\u0627\u0642\u0634\u0629 \u0627\u0644\u0645\u0628\u064a\u0646\u0629 \u0627\u0633\u0645\u0627\u0626\u0647\u0645 \u0641\u064a\u0645\u0627 \u064a\u0623\u062a\u064a :<\/span><\/h4>\n
    \n
  • \n

    \u0623.\u062f. \u062c\u0647\u0627\u062f \u0631\u0645\u0636\u0627\u0646 \u062e\u0636\u0631 ( \u0631\u0626\u064a\u0633\u0627\u064b )<\/span><\/h4>\n<\/li>\n
  • \n

    \u0623.\u0645.\u062f. \u062d\u0627\u062a\u0645 \u064a\u062d\u064a\u0649 \u062e\u0644\u0641 ( \u0639\u0636\u0648\u0627\u064b)<\/span><\/h4>\n<\/li>\n
  • \n

    \u0623.\u0645.\u062f. \u0641\u0627\u0637\u0645\u0629 \u0641\u064a\u0635\u0644 \u0643\u0631\u064a\u0645 \u00a0(\u0639\u0636\u0648\u0627\u064b)<\/span><\/h4>\n<\/li>\n
  • \n

    \u0645.\u062f. \u063a\u0627\u0644\u0628 \u0627\u062d\u0645\u062f \u062d\u0645\u0648\u062f ( \u0639\u0636\u0648\u0627\u064b \u0648\u0645\u0634\u0631\u0641\u0627\u064b)<\/span><\/h4>\n<\/li>\n<\/ul>\n

    \"\"<\/h4>\n

    \u0627\u0646 \u0627\u0644\u063a\u0631\u0636 \u0627\u0644\u0631\u0626\u064a\u0633\u064a \u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u0639\u0645\u0644 \u0647\u0648 \u062f\u0631\u0627\u0633\u0629 \u0648\u062a\u0637\u0648\u064a\u0631 \u0627\u0644\u062e\u0648\u0627\u0635 \u0627\u0644\u0627\u0633\u0627\u0633\u064a\u0629 \u0644\u0644\u0645\u0642\u0627\u0633\u0627\u062a \u0627\u0644\u062c\u0632\u0626\u064a\u0629 \u0627\u0644\u062b\u0646\u0627\u0626\u064a\u0629 \u0627\u0644\u0636\u0639\u064a\u0641\u0629 \u0648\u0627\u0644\u0645\u0642\u0627\u0633\u0627\u062a \u0627\u0644\u062c\u0632\u0626\u064a\u0629 \u0634\u0628\u0647 \u0627\u0644\u062b\u0646\u0627\u0626\u064a\u0629 \u0648\u0627\u0639\u0637\u0627\u0621 \u0648\u0635\u0641\u0627 \u0627\u062e\u0631 \u0644\u0647\u0630\u0647 \u0627\u0644\u0645\u0642\u0627\u0633\u0627\u062a \u0648 \u0627\u0639\u0637\u0627\u0621 \u0645\u0639\u0644\u0648\u0645\u0627\u062a \u0627\u0643\u062b\u0631.<\/span><\/h4>\n

    <\/h4>\n

    \u00a0\u00a0 \u0644\u062a\u0643\u0646 \u00a0\u062d\u0644\u0642\u0647 \u0630\u0627\u062a \u0645\u062d\u0627\u064a\u062f \u0648 \u00a0\u0645\u0642\u0627\u0633\u0627 \u064b \u0627\u062d\u0627\u062f\u064a\u0627 \u064b \u0627\u064a\u0633\u0631\u0627 \u0639\u0644\u0649 \u062d\u0644\u0642\u0629 \u0627\u0644\u062a\u0634\u0627\u0643\u0644\u0627\u062a\u00a0 \u00a0\u0648\u0627\u064a\u0645\u0646\u0627 \u0639\u0644\u0649 . \u064a\u0642\u0627\u0644 \u0639\u0646 \u0627\u0644\u0645\u0642\u0627\u0633 \u0627\u0644\u062c\u0632\u0626\u064a \u00a0\u0627\u0644\u063a\u064a\u0631 \u0635\u0641\u0631\u064a \u0645\u0646 \u0627\u0644\u0645\u0642\u0627\u0633 \u00a0\u0628\u0623\u0646\u0647 \u062b\u0646\u0627\u0626\u064a \u0627\u0630\u0627 \u0644\u0643\u0644\u00a0 \u00a0\u0641\u0627\u0646 \u0627\u0644\u062a\u0634\u0627\u0643\u0644\u00a0\u00a0 \u0627\u0644\u0645\u0639\u0631\u0641 \u0628\u0627\u0644\u0634\u0643\u0644 \u00a0\u0627\u0645\u0627 \u064a\u0643\u0648\u0646 \u0634\u0627\u0645\u0644\u0627 \u0627\u0648 \u0635\u0641\u0631\u064a\u0627 \u0644\u0643\u0644 . \u0627\u0646 \u0627\u0644\u0645\u0642\u0627\u0633\u0627\u062a \u0627\u0644\u062c\u0632\u0626\u064a\u0629 \u0627\u0644\u062b\u0646\u0627\u0626\u064a\u0629 \u0627\u0644\u0636\u0639\u064a\u0641\u0629 \u0648\u0627\u0644\u0645\u0642\u0627\u0633\u0627\u062a \u0627\u0644\u062c\u0632\u0626\u064a\u0629 \u0634\u0628\u0647 \u0627\u0644\u062b\u0646\u0627\u0626\u064a\u0629 \u0627\u0639\u0645\u0627\u0645\u0627\u00a0 \u0644\u0644\u0645\u0642\u0627\u0633\u0627\u062a \u0627\u0644\u062c\u0632\u0626\u064a\u0629 \u0627\u0644\u062b\u0646\u0627\u0626\u064a\u0629. \u0625\u0630 \u064a\u0642\u0627\u0644 \u0639\u0646 \u0627\u0644\u0645\u0642\u0627\u0633 \u0627\u0644\u062c\u0632\u0626\u064a \u00a0\u0627\u0644\u063a\u064a\u0631 \u0635\u0641\u0631\u064a \u0645\u0646 \u0627\u0644\u0645\u0642\u0627\u0633 \u00a0\u0628\u0623\u0646\u0647 \u062b\u0646\u0627\u0626\u064a \u0636\u0639\u064a\u0641 \u0627\u0630\u0627 \u0644\u0643\u0644 ,\u00a0\u00a0\u0648\u0644\u0627\u064a \u0645\u0642\u0627\u0633 \u062c\u0632\u0626\u064a \u00a0\u0645\u0646 \u0627\u0644\u0645\u0642\u0627\u0633 \u00a0\u0628\u062d\u064a\u062b \u00a0\u00a0\u00a0 \u0641\u0627\u0646\u00a0 \u0627\u0645\u0627\u00a0 \u00a0\u00a0\u00a0\u00a0 \u0627\u0648 . \u00a0\u0648\u064a\u0642\u0627\u0644 \u0639\u0646 \u0627\u0644\u0645\u0642\u0627\u0633 \u0627\u0644\u062c\u0632\u0626\u064a \u00a0\u0627\u0644\u063a\u064a\u0631 \u0635\u0641\u0631\u064a \u0645\u0646 \u0627\u0644\u0645\u0642\u0627\u0633 \u00a0\u0628\u0623\u0646\u0647 \u0634\u0628\u0647 \u062b\u0646\u0627\u0626\u064a \u0627\u0630\u0627 \u0644\u0643\u0644 \u00a0\u0641\u0627\u0646\u00a0 .<\/span><\/h4>\n

    \u00a0\u00a0 \u00a0\u0627\u0646 \u0627\u0644\u063a\u0631\u0636 \u0627\u0644\u0631\u0626\u064a\u0633\u064a \u0641\u064a \u0647\u0630\u0627 \u0627\u0644\u0639\u0645\u0644 \u0647\u0648 \u062f\u0631\u0627\u0633\u0629 \u0648\u062a\u0637\u0648\u064a\u0631 \u0627\u0644\u062e\u0648\u0627\u0635 \u0627\u0644\u0627\u0633\u0627\u0633\u064a\u0629 \u0644\u0644\u0645\u0642\u0627\u0633\u0627\u062a \u0627\u0644\u062c\u0632\u0626\u064a\u0629 \u0627\u0644\u062b\u0646\u0627\u0626\u064a\u0629 \u0627\u0644\u0636\u0639\u064a\u0641\u0629 \u0648\u0627\u0644\u0645\u0642\u0627\u0633\u0627\u062a \u0627\u0644\u062c\u0632\u0626\u064a\u0629 \u0634\u0628\u0647 \u0627\u0644\u062b\u0646\u0627\u0626\u064a\u0629 \u0648\u0627\u0639\u0637\u0627\u0621 \u0648\u0635\u0641\u0627 \u0627\u062e\u0631 \u0644\u0647\u0630\u0647 \u0627\u0644\u0645\u0642\u0627\u0633\u0627\u062a \u0648 \u0627\u0639\u0637\u0627\u0621 \u0645\u0639\u0644\u0648\u0645\u0627\u062a \u0627\u0643\u062b\u0631.<\/span><\/h4>\n

    \u00a0\u0639\u0644\u0627\u0648\u0629 \u0639\u0646 \u0630\u0644\u0644\u0643 \u062a\u0645 \u062a\u0642\u062f\u064a\u0645 \u0627\u0644\u0645\u0642\u0627\u0633\u0627\u062a \u0627\u0644\u062c\u0632\u0626\u064a\u0629 \u0627\u0644\u062b\u0627\u0646\u0648\u064a\u0629 \u0627\u0644\u0636\u0639\u064a\u0641\u0629 \u0648\u0627\u0644\u0645\u0642\u0627\u0633\u0627\u062a \u0627\u0644\u062c\u0632\u0626\u064a\u0629 \u0634\u0628\u0647 \u0627\u0644\u062b\u0646\u0627\u0626\u064a\u0629 \u0627\u0644\u0636\u0639\u064a\u0641\u0629.<\/span><\/h4>\n

    \u0627\u062e\u064a\u0631\u0627 \u062f\u0631\u0627\u0633\u0629 \u0627\u0644\u062a\u0628\u0648\u0644\u0648\u062c\u064a \u0627\u0644\u0645\u0639\u0631\u0641 \u0639\u0644\u0649 \u0645\u062c\u0645\u0648\u0639\u0629 \u0627\u0644\u0645\u0642\u0627\u0633\u0627\u062a \u0627\u0644\u062c\u0632\u0626\u064a\u0629 \u0627\u0644\u062b\u0646\u0627\u0626\u064a\u0629 \u0627\u0644\u0636\u0639\u064a\u0641\u0629 \u0627\u0644\u062a\u064a \u062a\u0633\u0645\u0649 \u0628\u0641\u0636\u0627\u0621 \u0645\u062c\u0645\u0648\u0639\u0629 \u0627\u0644\u0645\u0642\u0627\u0633\u0627\u062a \u0627\u0644\u062c\u0632\u0626\u064a\u0629 \u0627\u0644\u062b\u0646\u0627\u0626\u064a\u0629 \u0627\u0644\u0636\u0639\u064a\u0641\u0629 \u0627\u0644\u0630\u064a \u064a\u0631\u0645\u0632 \u0644\u0647\u00a0\u00a0\u00a0\u0648\u062f\u0631\u0627\u0633\u0629 \u0627\u0644\u0639\u0644\u0627\u0642\u0629 \u0628\u064a\u0646 \u062e\u0635\u0627\u0626\u0635\u00a0 \u0627\u0644\u0646\u0638\u0631\u064a\u0629 \u0644\u0644\u0645\u0642\u0627\u0633 \u00a0\u0648\u0627\u0644\u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u062a\u0628\u0648\u0644\u0648\u062c\u064a\u0629 \u0644\u0644\u0641\u0636\u0627\u0621 \u00a0\u00a0.<\/span><\/h4>\n
    \n

    \u00a0\u00a0 Zainab Saadi Kadhim<\/em><\/span><\/h4>\n

    Ghaleb Ahmed Humood<\/em><\/span><\/h4>\n

    Generalizations of The Dual Notions of Prime and Primary Submodules<\/em><\/span>\u00a0<\/em><\/span><\/h4>\n

    The main purpose of this work is to develop the properties of the concepts weakly second submodules and semi second\u00a0 submodules. Furthermore, we provide more information and descriptions of these concepts<\/em><\/span><\/h4>\n

    \u00a0\u00a0 Let \u00a0be a ring with identity unless otherwise stated and\u00a0 \u00a0be a unitary left -right -bimodule where \u00a0 is the endomorphism ring of . A non-zero submodule \u00a0of \u00a0an -module \u00a0is said to be a second submodule of\u00a0 \u00a0if\u00a0 for any , the endomorphism\u00a0 \u00a0defined by \u00a0for each , is either surjective or zero. The concepts weakly second and semisecond\u00a0 submodules are introduced as generalizations of second submodules A non-zero submodule \u00a0of\u00a0 \u00a0is called a weakly second submodule of \u00a0whenever \u00a0where , \u00a0and \u00a0is a submodule of \u00a0implies either \u00a0or . Moreover, a non-zero submodule \u00a0of\u00a0 \u00a0is called a semi second submodule of\u00a0 \u00a0if for each , .<\/span><\/h4>\n

    \u00a0\u00a0 The main purpose of this work is to develop the properties of the concepts weakly second submodules and semi second\u00a0 submodules. Furthermore, we provide more information and descriptions of these concepts. Moreover, weakly secondary submodules\u00a0 and weak semi second\u00a0 submodules are introduced as generalizations of the concepts of weakly second submodules\u00a0 and semi second\u00a0 submodules respectively. Finally, we study the set of all weakly second submodules of a non-zero module\u00a0 which is called the weakly second spectrum of \u00a0which is denoted by . We investigate the relationship between the theoretic properties of a module \u00a0and the topological properties\u00a0\u00a0<\/span><\/h4>\n

    <\/h4>\n

    <\/h4>\n

    <\/h4>\n

    <\/h4>\n

    <\/h4>\n","protected":false},"excerpt":{"rendered":"

    \u0646\u0627\u0642\u0634 \u0642\u0633\u0645 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0641\u064a \u0643\u0644\u064a\u0629 \u0627\u0644\u062a\u0631\u0628\u064a\u0629 \u0644\u0644\u0639\u0644\u0648\u0645 \u0627\u0644\u0635\u0631\u0641\u0629 ( \u0627\u0628\u0646 \u0627\u0644\u0647\u064a\u062b\u0645) \u0631\u0633\u0627\u0644\u0629 \u0627\u0644\u0645\u0627\u062c\u0633\u062a\u064a\u0631 \u0627\u0644\u0645\u0648\u0633\u0648\u0645\u0629 ( \u0627\u0639\u0645\u0627\u0645\u0627\u062a \u0627\u0644\u0645\u0641\u0627\u0647\u064a\u0645 \u0627\u0644\u0631\u062f\u064a\u0641\u0629 \u0644\u0644\u0645\u0642\u0627\u0633\u0627\u062a \u0627\u0644\u062c\u0632\u0626\u064a\u0629….<\/i>\u0627\u0644\u0645\u0632\u064a\u062f<\/span><\/a><\/p>\n","protected":false},"author":25,"featured_media":33451,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_lmt_disableupdate":"no","_lmt_disable":"","footnotes":""},"categories":[7,16],"tags":[23,49],"class_list":["post-33446","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-7","category-16","tag-ihcoedu","tag-math"],"modified_by":"ihcoedu","_links":{"self":[{"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=\/wp\/v2\/posts\/33446","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=\/wp\/v2\/users\/25"}],"replies":[{"embeddable":true,"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=33446"}],"version-history":[{"count":0,"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=\/wp\/v2\/posts\/33446\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=\/wp\/v2\/media\/33451"}],"wp:attachment":[{"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=33446"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=33446"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=33446"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}