{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T10:41:59Z","timestamp":1740134519184,"version":"3.37.3"},"reference-count":24,"publisher":"Wiley","license":[{"start":{"date-parts":[[2013,1,1]],"date-time":"2013-01-01T00:00:00Z","timestamp":1356998400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/100009391","name":"University of Tabuk","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100009391","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2013]]},"abstract":"The notion ofsymmetric left bi-derivation<\/jats:italic>of aBCI<\/jats:italic>-algebraX<\/jats:italic>is introduced, and related properties are investigated. Some results on componentwise regular andd<\/jats:italic>-regularsymmetric left bi-derivations<\/jats:italic>are obtained. Finally, characterizations of ap<\/jats:italic>-semisimpleBCI<\/jats:italic>-algebra are explored, and it is proved that, in ap<\/jats:italic>-semisimpleBCI<\/jats:italic>-algebra,F<\/jats:italic>is asymmetric left bi-derivation<\/jats:italic>if and only if it is asymmetric bi-derivation<\/jats:italic>.<\/jats:p>","DOI":"10.1155\/2013\/238490","type":"journal-article","created":{"date-parts":[[2013,6,22]],"date-time":"2013-06-22T21:00:27Z","timestamp":1371934827000},"page":"1-6","source":"Crossref","is-referenced-by-count":5,"title":["On Symmetric Left Bi-Derivations inBCI<\/i>-Algebras"],"prefix":"10.1155","volume":"2013","author":[{"given":"G.","family":"Muhiuddin","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia"}]},{"given":"Abdullah M.","family":"Al-roqi","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia"}]},{"given":"Young Bae","family":"Jun","sequence":"additional","affiliation":[{"name":"Department of Mathematics Education (and RINS), Gyeongsang National University, Jinju 660-701, Republic of Korea"}]},{"given":"Yilmaz","family":"Ceven","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Suleyman Demirel University, 32260 Isparta, Turkey"}]}],"member":"311","reference":[{"key":"10","doi-asserted-by":"publisher","DOI":"10.3792\/pja\/1195522169"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.3792\/pja\/1195522171"},{"issue":"1","key":"2","first-page":"39","volume":"36","year":"1991","journal-title":"Mathematica Japonica"},{"issue":"6","key":"3","first-page":"865","volume":"34","year":"1989","journal-title":"Mathematica Japonica"},{"issue":"3","key":"7","first-page":"553","volume":"8","year":"1980","journal-title":"Kobe University. 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