{"id":41211,"date":"2025-07-28T16:59:22","date_gmt":"2025-07-28T16:59:22","guid":{"rendered":"https:\/\/uomosul.edu.iq\/en\/computerscience\/?p=41211"},"modified":"2025-07-28T16:59:33","modified_gmt":"2025-07-28T16:59:33","slug":"1-243","status":"publish","type":"post","link":"https:\/\/uomosul.edu.iq\/en\/computerscience\/2025\/07\/28\/1-243\/","title":{"rendered":"Master\u2019s thesis\u00a0 \u00a0by Student Yasmine Mohammed Ismail"},"content":{"rendered":"<p>&nbsp;<\/p>\n<p>Discussion of the master\u2019s thesis \u00a0in the College of Computer Science and Mathematics &#8211; Department of Mathematics Sciences entitled:<\/p>\n<p><strong>&#8220;<\/strong> <strong>Locally Involution Regular Rings<\/strong> <strong>&#8220;<\/strong><\/p>\n<p>It was discussed in the discussion room at the Faculty of Computer Science and Mathematics at the University of Mosul on Thursday, 28 -7-2025.<\/p>\n<p>Master\u2019s thesis\u00a0 \u00a0by <strong>Student <\/strong><strong>Yasmine Mohammed Ismail<\/strong><\/p>\n<p><strong>under<\/strong> <strong>the supervision of<\/strong><strong> \u00a0Ass.Prof.Zubaida Mohammed Ibraheem Ismail<\/strong><\/p>\n<p>A ring R is called locally right (left) semi involution regular ring , if for every \u00a0, either \u00a0or \u00a0is right (left) semi involution regular element .<\/p>\n<p>In this work we study some new properties of locally right semi involution regular rings and the relations between this rings and locally involution regular rings , involution regular rings and clean rings . The main results that were obtained:<\/p>\n<ul>\n<li>Let be a ring . Then is L.r.s.I.Reg. iff , or\u00a0\u00a0 \u00a0is\u00a0 direct summand for all \u00a0, where \u00a0 \u00a0for some<\/li>\n<li>Every associate elements in is idempotent , if ). where p is prime number and<\/li>\n<li>Let R be L.I.Reg. ring and I is an proper ideal\u00a0 of R , Then\u00a0 \u00a0is L.r.s.I.Reg.Ring .<\/li>\n<li>Let be abelian L.r.s.I.Reg.Ring , then every element can be written as \u00a0or \u00a0where is right semi invo- regular and \u00a0is nilpotent element.<\/li>\n<li>Every L.I.Reg.Ring is L.r.s.I.Reg.Ring.<\/li>\n<\/ul>\n<p>Let R be a L.r.s.I.Reg.Ring and \u00a0is P-injective , then R is L.I.Reg.Ring , when \u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0for all \u00a0, \u00a0.<\/p>\n<p><strong>The scientific committee included the following members:<\/strong><\/p>\n<ul>\n<li><strong> Dr. Laith Abdullatif Majeed<\/strong> &#8211; <strong>Chairman<\/strong><\/li>\n<li><strong> Dr. Raida Dawood Mahmood- Member.<\/strong><\/li>\n<li><strong> Dr. Ammar Sadiq Mahmood &#8211; Member.<\/strong><\/li>\n<li><strong> Prof. Zubaida Mohammed Ibraheem- Member and supervisor.<\/strong><\/li>\n<\/ul>\n<p><strong>\u00a0<\/strong><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>&nbsp; Discussion of the master\u2019s thesis \u00a0in the College of Computer Science and Mathematics &#8211; Department of Mathematics Sciences entitled: &#8220; Locally Involution Regular Rings &#8220; It was discussed in the discussion room at the Faculty of Computer Science and Mathematics at the University of Mosul on Thursday, 28 -7-2025. Master\u2019s thesis\u00a0 \u00a0by Student Yasmine Mohammed Ismail under the supervision of \u00a0Ass.Prof.Zubaida Mohammed Ibraheem Ismail A ring R is called locally right (left) semi involution regular ring , if for every \u00a0, either \u00a0or \u00a0is right (left) semi involution regular element . In this work we study some new properties of <a href=\"https:\/\/uomosul.edu.iq\/en\/computerscience\/2025\/07\/28\/1-243\/\"> [Read More]<\/a><\/p>\n","protected":false},"author":24,"featured_media":41212,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2],"tags":[],"class_list":["post-41211","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\/41211","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=41211"}],"version-history":[{"count":2,"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/posts\/41211\/revisions"}],"predecessor-version":[{"id":41214,"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/posts\/41211\/revisions\/41214"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/media\/41212"}],"wp:attachment":[{"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/media?parent=41211"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/categories?post=41211"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/tags?post=41211"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}