{"id":43283,"date":"2026-08-26T08:41:10","date_gmt":"2026-08-26T08:41:10","guid":{"rendered":"https:\/\/uomosul.edu.iq\/en\/computerscience\/?p=43283"},"modified":"2026-08-26T08:42:00","modified_gmt":"2026-08-26T08:42:00","slug":"1-707","status":"publish","type":"post","link":"https:\/\/uomosul.edu.iq\/en\/computerscience\/2026\/08\/26\/1-707\/","title":{"rendered":"Master&#8217;s Thesis by &#8220;Hadeel khalid Mohammed Qasim&#8221; Department of Mathematics"},"content":{"rendered":"<p>Master&#8217;s Thesis by &#8220;Hadeel khalid Mohammed Qasim&#8221; Department of Mathematics<\/p>\n<p><strong>Discussion of the Master&#8217;s Thesis Submitted to the College of Computer Science and Mathematics, Department of Mathematics, Entitled:<\/strong><\/p>\n<p>\u201c<strong>On TT-nil clean rings<\/strong>\u201d<\/p>\n<p><strong>supervised by \u00a0Prof. Dr. Nazar Hamdoon shuker<\/strong><\/p>\n<p>In this thesis, we introduce the notion of\u00a0 TT-nil clean rings (TTNC-ring for short). A \u00a0NC-ring is a ring in which\u00a0for every \u00a0in \u00a0\u00a0\u00a0\u00a0or \u00a0\u00a0where \u00a0is a tripotent \u00a0\u00a0\u00a0is nilpotent\u00a0and\u00a0 \u00a0The fundamental structural properties of these rings are investigated in detail. Furthermore,\u00a0 the relationships between TT-nil clean rings and\u00a0 other known types of rings in the theory such as strongly 2-nil clean and\u00a0 weakly nil clean rings are examined. We also show the structure of\u00a0 these rings, and study the structure of the Jacobson radical and right singular ideal in these rings. In addition\u00a0we introduce the concept of an invo TT clean ring \u00a0which is a ring with every \u00a0in \u00a0\u00a0\u00a0or\u00a0 \u00a0\u00a0where \u00a0is a tripotent and \u00a0is a unit of order two.\u00a0 Some basic properties of such rings, and their relation with other related rings are investigated.<\/p>\n<p><strong>\u00a0<\/strong>\u00a0 \u00a0 The discussion committee consists of<\/p>\n<ul>\n<li>Hussam Qasim Mohammed <em>(Chairman)<\/em><\/li>\n<li>Shaimaa Hatem Ahmed <em>(Member)<\/em><\/li>\n<li>Ikram Abdul qadir Saleh <em>(Member)<\/em><\/li>\n<li>Nazar Hamdoon shuker <em>(Member and Supervisor)<\/em><\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Master&#8217;s Thesis by &#8220;Hadeel khalid Mohammed Qasim&#8221; Department of Mathematics Discussion of the Master&#8217;s Thesis Submitted to the College of Computer Science and Mathematics, Department of Mathematics, Entitled: \u201cOn TT-nil clean rings\u201d supervised by \u00a0Prof. Dr. Nazar Hamdoon shuker In this thesis, we introduce the notion of\u00a0 TT-nil clean rings (TTNC-ring for short). A \u00a0NC-ring is a ring in which\u00a0for every \u00a0in \u00a0\u00a0\u00a0\u00a0or \u00a0\u00a0where \u00a0is a tripotent \u00a0\u00a0\u00a0is nilpotent\u00a0and\u00a0 \u00a0The fundamental structural properties of these rings are investigated in detail. Furthermore,\u00a0 the relationships between TT-nil clean rings and\u00a0 other known types of rings in the theory such as strongly 2-nil clean <a href=\"https:\/\/uomosul.edu.iq\/en\/computerscience\/2026\/08\/26\/1-707\/\"> [Read More]<\/a><\/p>\n","protected":false},"author":24,"featured_media":43284,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2],"tags":[],"class_list":["post-43283","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-viva"],"_links":{"self":[{"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/posts\/43283","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/users\/24"}],"replies":[{"embeddable":true,"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/comments?post=43283"}],"version-history":[{"count":1,"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/posts\/43283\/revisions"}],"predecessor-version":[{"id":43285,"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/posts\/43283\/revisions\/43285"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/media\/43284"}],"wp:attachment":[{"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/media?parent=43283"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/categories?post=43283"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/tags?post=43283"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}