{"id":36705,"date":"2023-04-05T12:00:53","date_gmt":"2023-04-05T09:00:53","guid":{"rendered":"https:\/\/uomosul.edu.iq\/computerscience\/?p=36705"},"modified":"2023-05-27T12:38:04","modified_gmt":"2023-05-27T09:38:04","slug":"36705-2","status":"publish","type":"post","link":"https:\/\/uomosul.edu.iq\/computerscience\/36705-2\/","title":{"rendered":"\u0645\u0646\u0627\u0642\u0634\u0629 \u0631\u0633\u0627\u0644\u0629 \u0645\u0627\u062c\u0633\u062a\u064a\u0631 &#8211; \u0642\u0633\u0645 \u0639\u0644\u0648\u0645 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0644\u0644\u0637\u0627\u0644\u0628\u0629 \u0641\u062f\u0627\u0621 \u0639\u0627\u064a\u062f \u0646\u0627\u064a\u0641 \u0639\u0628\u062f\u0627\u0644\u0644\u0647"},"content":{"rendered":"<div class=\"x11i5rnm xat24cr x1mh8g0r x1vvkbs xdj266r x126k92a\">\n<div dir=\"auto\">\u0645\u0646\u0627\u0642\u0634\u0629 \u0631\u0633\u0627\u0644\u0629 \u0645\u0627\u062c\u0633\u062a\u064a\u0631 \u0641\u064a \u0643\u0644\u064a\u0629 \u0639\u0644\u0648\u0645 \u0627\u0644\u062d\u0627\u0633\u0648\u0628 \u0648\u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a &#8211; \u0642\u0633\u0645 \u0639\u0644\u0648\u0645 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0628\u0639\u0646\u0648\u0627\u0646 :<\/div>\n<div dir=\"auto\">(A Generalization of Nil Clean Rings)<\/div>\n<\/div>\n<div class=\"x11i5rnm xat24cr x1mh8g0r x1vvkbs xtlvy1s x126k92a\">\n<div dir=\"auto\">\u0627\u0633\u062a\u0645\u0631\u0627\u0631\u0627 \u0644\u062d\u0631\u0643\u0629 \u0627\u0644\u0628\u062d\u062b \u0627\u0644\u0639\u0644\u0645\u064a \u0648\u0628\u0645\u062a\u0627\u0628\u0639\u0629 \u0648\u062d\u0636\u0648\u0631 \u0627\u0644\u0633\u064a\u062f\u0629 \u0639\u0645\u064a\u062f \u0643\u0644\u064a\u0629 \u0639\u0644\u0648\u0645 \u0627\u0644\u062d\u0627\u0633\u0648\u0628 \u0648\u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a<\/div>\n<div dir=\"auto\">\u0627\u0644\u0623\u0633\u062a\u0627\u0630 \u0627\u0644\u062f\u0643\u062a\u0648\u0631 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\u0632\u0628\u064a\u062f\u0629 \u0645\u062d\u0645\u062f \u0627\u0628\u0631\u0627\u0647\u064a\u0645 .<\/div>\n<\/div>\n<div class=\"x11i5rnm xat24cr x1mh8g0r x1vvkbs xtlvy1s x126k92a\">\n<div dir=\"auto\">\u064a\u0642\u0627\u0644 \u0644\u0644\u062d\u0644\u0642\u0629 R \u0628\u0623\u0646\u0647\u0627 \u0646\u0642\u064a\u0629 \u0645\u0639\u062f\u0648\u0645\u0629 \u0627\u0644\u0642\u0648\u0649 \u0645\u0646 \u0627\u0644\u0646\u0645\u0637-2 \u0623\u0630\u0627 \u0643\u0627\u0646 \u0643\u0644 \u0639\u0646\u0635\u0631 a \u0641\u064a \u0627\u0644\u062d\u0644\u0642\u0629 R<\/div>\n<div dir=\"auto\">\u064a\u0645\u0643\u0646 \u0643\u062a\u0627\u0628\u062a\u0647 \u0643\u062d\u0627\u0635\u0644 \u062c\u0645\u0639 \u0645\u0646 \u0639\u0646\u0635\u0631\u064a\u0646 \u0645\u062a\u062d\u0627\u064a\u062f\u064a\u0646 \u0648\u0639\u0646\u0635\u0631 \u0645\u0639\u062f\u0648\u0645 \u0627\u0644\u0642\u0648\u0649.<\/div>\n<div dir=\"auto\">\u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0631\u0633\u0627\u0644\u0629 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\u3016r_1 r_2=r\u3017_2 r_1 , r_2 b=br_2,r_1 b=br_1 \u0648\u0645\u0646 \u0627\u0644\u0623\u0647\u062f\u0627\u0641 \u0627\u0644\u0631\u0626\u064a\u0633\u064a\u0629 \u0644\u0647\u0630\u0647 \u0627\u0644\u0631\u0633\u0627\u0644\u0629 \u062f\u0631\u0627\u0633\u0629 \u0646\u0648\u0639 \u062c\u062f\u064a\u062f \u0645\u0646 \u0627\u0644\u062d\u0644\u0642\u0627\u062a \u0647\u064a \u0627\u0644\u062d\u0644\u0642\u0629 \u0627\u0644\u0646\u0642\u064a\u0629 \u0627\u0644\u0645\u0646\u062a\u0638\u0645\u0629 \u0628\u0642\u0648\u0629 \u0645\u0646 \u0627\u0644\u0646\u0645\u0637 JN-2. \u062a\u0645 \u0627\u0639\u0637\u0627\u0621 \u0627\u0644\u062e\u0648\u0627\u0635 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0644\u0647\u0630\u0647 \u0627\u0644\u062d\u0644\u0642\u0627\u062a \u0648\u0639\u0644\u0627\u0642\u062a\u0647\u0627 \u0645\u0639 \u0627\u0644\u062d\u0644\u0642\u0627\u062a \u0627\u0644\u0623\u062e\u0631\u0649.<\/div>\n<div dir=\"auto\">\u062a\u0631\u0623\u0633 \u0644\u062c\u0646\u0629 \u0627\u0644\u0645\u0646\u0627\u0642\u0634\u0629 \u0645\u0646 \u0623.\u062f. \u0631\u0627\u0626\u062f\u0629 \u062f\u0627\u0624\u062f \u0645\u062d\u0645\u0648\u062f \u2013 \u0631\u0626\u064a\u0633\u0627\u064b .<\/div>\n<div dir=\"auto\">\u0648\u0639\u0636\u0648\u064a\u0629 \u0643\u0644 \u0645\u0646 :<\/div>\n<div dir=\"auto\">\u0623.\u0645.\u062f \u062d\u0633\u0627\u0645 \u0642\u0627\u0633\u0645 \u0645\u062d\u0645\u062f .<\/div>\n<div dir=\"auto\">\u0623.\u0645.\u062f. \u0641\u0631\u064a\u0627\u062f \u062d\u0633\u064a\u0646 \u0639\u0628\u062f\u0627\u0644\u0642\u0627\u062f\u0631 \u2013 \u062c\u0627\u0645\u0639\u0629 \u0635\u0644\u0627\u062d \u0627\u0644\u062f\u064a\u0646 \u2013 \u0643\u0644\u064a\u0629 \u0627\u0644\u062a\u0631\u0628\u064a\u0629 .<\/div>\n<div dir=\"auto\">\u0648\u0628\u0639\u0636\u0648\u064a\u0629 \u0648\u0627\u0634\u0631\u0627\u0641 \u0627.\u0645. \u0632\u0628\u064a\u062f\u0629 \u0645\u062d\u0645\u062f \u0627\u0628\u0631\u0627\u0647\u064a\u0645 .<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u0645\u0646\u0627\u0642\u0634\u0629 \u0631\u0633\u0627\u0644\u0629 \u0645\u0627\u062c\u0633\u062a\u064a\u0631 \u0641\u064a \u0643\u0644\u064a\u0629 \u0639\u0644\u0648\u0645 \u0627\u0644\u062d\u0627\u0633\u0648\u0628 \u0648\u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a &#8211; \u0642\u0633\u0645 \u0639\u0644\u0648\u0645 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0628\u0639\u0646\u0648\u0627\u0646 : (A Generalization of Nil Clean Rings) \u0627\u0633\u062a\u0645\u0631\u0627\u0631\u0627 \u0644\u062d\u0631\u0643\u0629 \u0627\u0644\u0628\u062d\u062b \u0627\u0644\u0639\u0644\u0645\u064a \u0648\u0628\u0645\u062a\u0627\u0628\u0639\u0629 \u0648\u062d\u0636\u0648\u0631 \u0627\u0644\u0633\u064a\u062f\u0629 \u0639\u0645\u064a\u062f \u0643\u0644\u064a\u0629 \u0639\u0644\u0648\u0645 \u0627\u0644\u062d\u0627\u0633\u0648\u0628 \u0648\u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0627\u0644\u0623\u0633\u062a\u0627\u0630 \u0627\u0644\u062f\u0643\u062a\u0648\u0631 \u0636\u062d\u0649 \u0628\u0634\u064a\u0631 \u0639\u0628\u062f \u0627\u0644\u0644\u0647 \u0627\u0644\u0645\u062d\u062a\u0631\u0645\u0629 \u0646\u0648\u0642\u0634\u062a \u0641\u064a \u0642\u0627\u0639\u0629 \u0627\u0644\u0645\u0646\u0627\u0642\u0634\u0629 \u0628\u0643\u0644\u064a\u0629 \u0639\u0644\u0648\u0645 \u0627\u0644\u062d\u0627\u0633\u0648\u0628 \u0648\u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0641\u064a \u062c\u0627\u0645\u0639\u0629 \u0627\u0644\u0645\u0648\u0635\u0644 \u064a\u0648\u0645 \u0627\u0644\u0627\u0631\u0628\u0639\u0627\u0621 5-4-2023 \u0631\u0633\u0627\u0644\u0629 \u0627\u0644\u0645\u0627\u062c\u0633\u062a\u064a\u0631 \u0644\u0644\u0637\u0627\u0644\u0628\u0629 \u0641\u062f\u0627\u0621 \u0639\u0627\u064a\u062f \u0646\u0627\u064a\u0641 \u0639\u0628\u062f\u0627\u0644\u0644\u0647 \u0648\u0628\u0625\u0634\u0631\u0627\u0641 \u0627\u0644\u0623\u0633\u062a\u0627\u0630 \u0627\u0644\u0645\u0633\u0627\u0639\u062f \u0632\u0628\u064a\u062f\u0629 \u0645\u062d\u0645\u062f \u0627\u0628\u0631\u0627\u0647\u064a\u0645 . \u064a\u0642\u0627\u0644 \u0644\u0644\u062d\u0644\u0642\u0629 R \u0628\u0623\u0646\u0647\u0627 \u0646\u0642\u064a\u0629 \u0645\u0639\u062f\u0648\u0645\u0629 \u0627\u0644\u0642\u0648\u0649 \u0645\u0646 \u0627\u0644\u0646\u0645\u0637-2 \u0623\u0630\u0627 \u0643\u0627\u0646 \u0643\u0644 \u0639\u0646\u0635\u0631 a \u0641\u064a \u0627\u0644\u062d\u0644\u0642\u0629 R \u064a\u0645\u0643\u0646 \u0643\u062a\u0627\u0628\u062a\u0647 \u0643\u062d\u0627\u0635\u0644 \u062c\u0645\u0639 \u0645\u0646 \u0639\u0646\u0635\u0631\u064a\u0646 \u0645\u062a\u062d\u0627\u064a\u062f\u064a\u0646 \u0648\u0639\u0646\u0635\u0631 \u0645\u0639\u062f\u0648\u0645 \u0627\u0644\u0642\u0648\u0649. \u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0631\u0633\u0627\u0644\u0629 \u062a\u0645\u062a \u062f\u0631\u0627\u0633\u0629 \u0628\u0639\u0636 \u0645\u0646 <a href=\"https:\/\/uomosul.edu.iq\/computerscience\/36705-2\/\"> [\u0625\u0642\u0631\u0623 \u0627\u0644\u0645\u0632\u064a\u062f]<\/a><\/p>\n","protected":false},"author":20,"featured_media":36706,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-36705","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-1"],"_links":{"self":[{"href":"https:\/\/uomosul.edu.iq\/computerscience\/wp-json\/wp\/v2\/posts\/36705","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/uomosul.edu.iq\/computerscience\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/uomosul.edu.iq\/computerscience\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/uomosul.edu.iq\/computerscience\/wp-json\/wp\/v2\/users\/20"}],"replies":[{"embeddable":true,"href":"https:\/\/uomosul.edu.iq\/computerscience\/wp-json\/wp\/v2\/comments?post=36705"}],"version-history":[{"count":2,"href":"https:\/\/uomosul.edu.iq\/computerscience\/wp-json\/wp\/v2\/posts\/36705\/revisions"}],"predecessor-version":[{"id":37107,"href":"https:\/\/uomosul.edu.iq\/computerscience\/wp-json\/wp\/v2\/posts\/36705\/revisions\/37107"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/uomosul.edu.iq\/computerscience\/wp-json\/wp\/v2\/media\/36706"}],"wp:attachment":[{"href":"https:\/\/uomosul.edu.iq\/computerscience\/wp-json\/wp\/v2\/media?parent=36705"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/uomosul.edu.iq\/computerscience\/wp-json\/wp\/v2\/categories?post=36705"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/uomosul.edu.iq\/computerscience\/wp-json\/wp\/v2\/tags?post=36705"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}