{"id":8582,"date":"2022-09-25T13:59:09","date_gmt":"2022-09-25T12:59:09","guid":{"rendered":"http:\/\/synthese.univ-annaba.dz\/?p=8582"},"modified":"2022-09-25T14:04:03","modified_gmt":"2022-09-25T13:04:03","slug":"characterization-of-idempotent-elements-in-a-variant-of-the-finite-full-transformation-semigroup","status":"publish","type":"post","link":"https:\/\/synthese.univ-annaba.dz\/?p=8582","title":{"rendered":"Characterization of idempotent elements in a variant of the finite full transformation semigroup"},"content":{"rendered":"<p>Num\u00e9ro de la revue: Volume 28 , Num\u00e9ro\u00a01<br \/>\nAuteurs: <strong>Babagana Ibrahim Bukar<sup>1*<\/sup>, Babagana Alhaji Madu<sup>2 <\/sup>&amp; Shuaibu Garba Ngulde<sup>3<\/sup><\/strong><\/p>\n<p><sup>1<\/sup>Deptartment of Mathematics and Statistics, Yobe State University, Damaturu-Nigeria<\/p>\n<p><sup>2<\/sup>Department of Mathematical Sciences, University of Maiduguri, Borno-Nigeria<\/p>\n<p><sup>3<\/sup>Department of Mathematical Sciences, University of Maiduguri, Borno-Nigeria<\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: right;\"><strong> <a href=\"http:\/\/synthese.univ-annaba.dz\/wp-content\/uploads\/2022\/09\/1-01.22-f.pdf\">T\u00e9l\u00e9charger l&rsquo;article<img loading=\"lazy\" decoding=\"async\" class=\" wp-image-709 alignright\" style=\"margin-top: -10px; margin-bottom: -10px;\" src=\"\/wp-content\/uploads\/2014\/04\/p2.jpg\" alt=\"p2\" width=\"37\" height=\"35\" srcset=\"https:\/\/synthese.univ-annaba.dz\/wp-content\/uploads\/2014\/04\/p2.jpg 113w, https:\/\/synthese.univ-annaba.dz\/wp-content\/uploads\/2014\/04\/p2-24x24.jpg 24w, https:\/\/synthese.univ-annaba.dz\/wp-content\/uploads\/2014\/04\/p2-48x46.jpg 48w\" sizes=\"auto, (max-width: 37px) 100vw, 37px\" \/><\/a><\/strong><\/p>\n<p><strong>ABSTRACT<\/strong><\/p>\n<p style=\"text-align: justify;\">\u00a0 In this research work, we consider a finite set X with n elements and introduce a systematic discussion of the transformation semigroup on the finite set\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0(namely the full transformation semigroup ) with the aim of studying the variants of this semigroup. There have been many approaches in studying the variant semigroup (i.e \u00a0for ), especially characterizing of Green\u2019s relation and classification of certain Subsemigroups. In this particular work we study and characterize the idempotent elements in a variant of the finite full transformation semigroup, and present the findings in the form of results.<\/p>\n<p><strong><em>Keywords:<\/em><\/strong><\/p>\n<p><em>Semigroup, Full transformation, Idempotent elements, Variant Semigroup. \u00a0<\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Num\u00e9ro de la revue: Volume 28 , Num\u00e9ro\u00a01 Auteurs: Babagana Ibrahim Bukar1*, Babagana Alhaji Madu2 &amp; Shuaibu Garba Ngulde3 1Deptartment of Mathematics and Statistics, Yobe State University, Damaturu-Nigeria 2Department of Mathematical Sciences, University of Maiduguri, Borno-Nigeria 3Department of Mathematical Sciences, &hellip; <a href=\"https:\/\/synthese.univ-annaba.dz\/?p=8582\">Lire la suite <span class=\"meta-nav\">&raquo;<\/span><\/a><\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1,16],"tags":[1449,1450,1448,1451],"class_list":["post-8582","post","type-post","status-publish","format-standard","hentry","category-non-classe","category-synthese-2","tag-full-transformation","tag-idempotent-elements","tag-semigroup","tag-variant-semigroup"],"_links":{"self":[{"href":"https:\/\/synthese.univ-annaba.dz\/index.php?rest_route=\/wp\/v2\/posts\/8582","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/synthese.univ-annaba.dz\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/synthese.univ-annaba.dz\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/synthese.univ-annaba.dz\/index.php?rest_route=\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/synthese.univ-annaba.dz\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=8582"}],"version-history":[{"count":2,"href":"https:\/\/synthese.univ-annaba.dz\/index.php?rest_route=\/wp\/v2\/posts\/8582\/revisions"}],"predecessor-version":[{"id":8585,"href":"https:\/\/synthese.univ-annaba.dz\/index.php?rest_route=\/wp\/v2\/posts\/8582\/revisions\/8585"}],"wp:attachment":[{"href":"https:\/\/synthese.univ-annaba.dz\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=8582"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/synthese.univ-annaba.dz\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=8582"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/synthese.univ-annaba.dz\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=8582"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}