{"id":41114,"date":"2025-07-24T06:51:29","date_gmt":"2025-07-24T06:51:29","guid":{"rendered":"https:\/\/uomosul.edu.iq\/en\/computerscience\/?p=41114"},"modified":"2025-07-24T06:52:06","modified_gmt":"2025-07-24T06:52:06","slug":"1-238","status":"publish","type":"post","link":"https:\/\/uomosul.edu.iq\/en\/computerscience\/2025\/07\/24\/1-238\/","title":{"rendered":"Master\u2019s thesis by Student \u00a0Rana \u00a0Mohammed Shafik\u00a0 yahya"},"content":{"rendered":"<p>Discussion of the master\u2019s thesis in the College of Computer Science and Mathematics -Department of<\/p>\n<p>Mathematics Sciences entitled:<\/p>\n<p><strong>&#8220;<\/strong> <strong>The Strongly Tri-nil Clean 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 Wednesday, \u00a0-3-2025.<\/p>\n<p>Master\u2019s thesis by <strong>Student \u00a0<\/strong><strong>Rana \u00a0Mohammed Shafik\u00a0 yahya<\/strong><\/p>\n<p><strong>under<\/strong> <strong>the supervision of<\/strong><strong> Prof. Dr. Nazar Hamdoon Shuker<\/strong><\/p>\n<p>In this thesis, we consider two closely related classes of rings that generalize the concept of nil clean rings. We consider strongly tri-nil clean rings(STNC), i.e., rings where every element can be written as a sum of a tripotent element (an element \u00a0such that ) and a nilpotent element, which commute. We give some fundamental properties and structure theorems of STNC rings, including criteria under which an STNC ring is strongly nil-clean and characterizations linking STNC rings with tripotent rings. In addition, we establish the notion of STNC rings with involution units, We provide examples of this class and prove that all such STNC rings with involution units are strongly invo clean. We also prove that the Jacobson radical is a nil ideal in these rings and that they satisfy Zhou&#8217;s conditions for nil-clean rings.<\/p>\n<p><strong>The scientific committee included the following members:<\/strong><\/p>\n<ul>\n<li><strong> Dr. Husam Qasem Mohammad<\/strong> \u2013 <strong>Chairman<\/strong><\/li>\n<li><strong> Dr. Ali Abdalkader Belal Alabdly &#8211; Member.<\/strong><\/li>\n<li><strong> Prof. Dr. Zubaida Muhammed Ibrahem &#8211; Member.<\/strong><\/li>\n<li><strong> Dr. Nazar Hamdoon Shuker &#8211; Member and supervisor.<\/strong><\/li>\n<\/ul>\n<p><strong>\u00a0<\/strong><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Discussion of the master\u2019s thesis in the College of Computer Science and Mathematics -Department of Mathematics Sciences entitled: &#8220; The Strongly Tri-nil Clean Rings&#8220; It was discussed in the discussion room at the Faculty of Computer Science and Mathematics at the University of Mosul on Wednesday, \u00a0-3-2025. Master\u2019s thesis by Student \u00a0Rana \u00a0Mohammed Shafik\u00a0 yahya under the supervision of Prof. Dr. Nazar Hamdoon Shuker In this thesis, we consider two closely related classes of rings that generalize the concept of nil clean rings. We consider strongly tri-nil clean rings(STNC), i.e., rings where every element can be written as a sum of <a href=\"https:\/\/uomosul.edu.iq\/en\/computerscience\/2025\/07\/24\/1-238\/\"> [Read More]<\/a><\/p>\n","protected":false},"author":24,"featured_media":41115,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2],"tags":[],"class_list":["post-41114","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\/41114","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=41114"}],"version-history":[{"count":1,"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/posts\/41114\/revisions"}],"predecessor-version":[{"id":41116,"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/posts\/41114\/revisions\/41116"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/media\/41115"}],"wp:attachment":[{"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/media?parent=41114"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/categories?post=41114"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/uomosul.edu.iq\/en\/computerscience\/wp-json\/wp\/v2\/tags?post=41114"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}