{"id":38491,"date":"2024-08-26T07:02:08","date_gmt":"2024-08-26T07:02:08","guid":{"rendered":"https:\/\/uomosul.edu.iq\/en\/computerscience\/?p=38491"},"modified":"2024-08-27T07:08:45","modified_gmt":"2024-08-27T07:08:45","slug":"1-52","status":"publish","type":"post","link":"https:\/\/uomosul.edu.iq\/en\/computerscience\/2024\/08\/26\/1-52\/","title":{"rendered":"Master&#8217;s thesis by student Ali Mohammed Hassan"},"content":{"rendered":"<p>Discussion of a master&#8217;s thesis in the College of Computer Science and Mathematics &#8211; Department of Mathematics Sciences entitled:<\/p>\n<p><strong>&#8220;<\/strong> <strong>On 2 \u2013 Involution Clean Rings\u00a0<\/strong><strong>with Application \u00a0<\/strong><strong>&#8220;<\/strong><\/p>\n<p>&nbsp;<\/p>\n<p>In continuation of the scientific research movement and with the follow-up and presence of the Dean of the College of Computer Science and Mathematics<\/p>\n<p><strong>\u00a0\u00a0 <\/strong><strong>Prof. Dr. Duha Bashir Abdullah The esteemed<\/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 Monday 26 -8-2024<\/p>\n<p>Master&#8217;s thesis by <strong>student Ali Mohammed Hassan,<\/strong> under <strong>the supervision of Prof.<\/strong><strong> Dr. Prof. Dr. Raida D. Mahmood and Dr. Mohamed Th. Younis<\/strong><strong>\u00a0\u00a0 .<\/strong><\/p>\n<p>An element a\u2208R is said to be involution clean if a=u+e, where e\u2208Id(R) and u\u2208Invo(R). The involution clean ring is ring with all element on it is involution clean element. In this thesis, a new definition was given, it is general than of involution clean and involution t-clean. The element a in R called two involution clean element, If it represents the sum of two involution elements u_1,u_2 and idempotent element e, such that a=u_1+u_2+e. A 2 \u2013 involution clean ring is ring with any element on it is a 2 \u2013 involution clean element. A 2 \u2013 involution clean ring is strongly 2 \u2013 involution clean ring, If u_1,u_2,e are commutative elements with each other. We gave the basic properties of these elements and rings and their relationship with involution \u2013 t \u2013 clean elements and the involution clean rings.<\/p>\n<p><strong>The scientific committee included the following members:<\/strong><\/p>\n<ul>\n<li><strong>Prof<\/strong><strong>.<\/strong><strong> Ammar S. Mahmoud <\/strong>&#8211; <strong>Chairman<\/strong><\/li>\n<\/ul>\n<p><strong>2-<\/strong> <strong>Prof. Dr. Ahmed M. Ali\u00a0\u00a0\u00a0 &#8211; Member.<\/strong><\/p>\n<p><strong>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/strong><strong>3- Assist. Prof. Dr. Dr. Baraa M. Suleiman- Member .<\/strong><\/p>\n<p><strong>\u00a0<\/strong><\/p>\n<p><strong>4- Prof. Dr. Raida D. Mahmood<\/strong><\/p>\n<p><strong>Dr. Mohamed Th. Younis\u00a0 supervisor.<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Discussion of a master&#8217;s thesis in the College of Computer Science and Mathematics &#8211; Department of Mathematics Sciences entitled: &#8220; On 2 \u2013 Involution Clean Rings\u00a0with Application \u00a0&#8220; &nbsp; In continuation of the scientific research movement and with the follow-up and presence of the Dean of the College of Computer Science and Mathematics \u00a0\u00a0 Prof. Dr. Duha Bashir Abdullah The esteemed It was discussed in the discussion room at the Faculty of Computer Science and Mathematics at the University of Mosul on Monday 26 -8-2024 Master&#8217;s thesis by student Ali Mohammed Hassan, under the supervision of Prof. Dr. Prof. Dr. Raida <a href=\"https:\/\/uomosul.edu.iq\/en\/computerscience\/2024\/08\/26\/1-52\/\"> [Read More]<\/a><\/p>\n","protected":false},"author":24,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2],"tags":[],"class_list":["post-38491","post","type-post","status-publish","format-standard","hentry","category-viva"],"_links":{"self":[{"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/posts\/38491","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=38491"}],"version-history":[{"count":1,"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/posts\/38491\/revisions"}],"predecessor-version":[{"id":38492,"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/posts\/38491\/revisions\/38492"}],"wp:attachment":[{"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/media?parent=38491"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/categories?post=38491"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/tags?post=38491"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}