{"id":361,"date":"2022-09-13T04:32:25","date_gmt":"2022-09-13T04:32:25","guid":{"rendered":"http:\/\/nampjournals.org\/?p=361"},"modified":"2022-09-13T04:32:27","modified_gmt":"2022-09-13T04:32:27","slug":"3-some-results-on-3-prime-near-rings-involving-derivations","status":"publish","type":"post","link":"https:\/\/nampjournals.org\/?p=361","title":{"rendered":"3.  Some Results on 3-Prime Near-Rings Involving Derivations"},"content":{"rendered":"<!-- wp:themify-builder\/canvas \/-->","protected":false},"excerpt":{"rendered":"","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[10],"tags":[],"class_list":["post-361","post","type-post","status-publish","format-standard","hentry","category-volume-62","has-post-title","has-post-date","has-post-category","has-post-tag","has-post-comment","has-post-author",""],"builder_content":"<a href=\"http:\/\/nampjournals.org\/publications-download\/volume-62\/03.Some%20Results%20On%203-Prime%20Near-Rings%20Involving%20Derivations%20By%201usman%20A.,%202garba%20A.%20I.,%202magami%20M.%20S.,%202almu%20A.%20And%201sayyadi%20N.%20Vol%2062%20Pg%2015-18.pdf\" > <em><svg aria-hidden=\"true\"><use href=\"#tf-ti-download\"><\/use><\/svg><\/em> Download Full Article <\/a>\n<p><strong>1Usman A., 2Garba A. I., 2Magami M. S., 2Almu A. and 1Sayyadi N. Pages 15-18<\/strong><br \/>1 Department of Mathematics and Statistics, Umaru Musa Yar'adua University, P.M.B. 2218 Katsina, Nigeria.<br \/>2 Department of Mathematics, Usmanu Danfodiyo University, P.M.B. 2346 Sokoto, Nigeria.<\/p><hr \/><p><strong>Abstract<\/strong><\/p><p>This research work deals some new results on near-rings through derivations and present the commutativity of a 3-prime near-ring satisfying some differential and algebraic identities on nonzero Jordan ideals of 2-torsion free involving derivations by considering two derivations instead of one derivation and also prove some result on special class of near-rings with suitable constraints of its subsets.<\/p><p><strong>Keywords:<\/strong> Derivation, 3-prime near-rings, 2-torsion free, Jordan ideal.<\/p>","_links":{"self":[{"href":"https:\/\/nampjournals.org\/index.php?rest_route=\/wp\/v2\/posts\/361","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/nampjournals.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/nampjournals.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/nampjournals.org\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/nampjournals.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=361"}],"version-history":[{"count":1,"href":"https:\/\/nampjournals.org\/index.php?rest_route=\/wp\/v2\/posts\/361\/revisions"}],"predecessor-version":[{"id":362,"href":"https:\/\/nampjournals.org\/index.php?rest_route=\/wp\/v2\/posts\/361\/revisions\/362"}],"wp:attachment":[{"href":"https:\/\/nampjournals.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=361"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/nampjournals.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=361"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/nampjournals.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=361"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}