{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T13:54:38Z","timestamp":1753883678555,"version":"3.41.2"},"reference-count":9,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2012,9,8]],"date-time":"2012-09-08T00:00:00Z","timestamp":1347062400000},"content-version":"vor","delay-in-days":251,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100002583","name":"Gyeongsang National University","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100002583","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2012,1]]},"abstract":"<jats:p>The notion of (co)derivations of ranked bigroupoids is discussed by Alshehri et al. (in press), and their generalized version is studied by Jun et al. (under review press). In particular, Jun et al. (under review press) studied coderivations of ranked bigroupoids. In this paper, the generalization of coderivations of ranked bigroupoids is discussed. The notion of generalized coderivations in ranked bigroupoids is introduced, and new generalized coderivations of ranked bigroupoids are obtained by combining a generalized self\u2010coderivation with a rankomorphism. From the notion of (<jats:italic>X<\/jats:italic>, \u2217, &amp;)\u2010derivation, the existence of a rankomorphism of ranked bigroupoids is established.<\/jats:p>","DOI":"10.1155\/2012\/626781","type":"journal-article","created":{"date-parts":[[2012,9,8]],"date-time":"2012-09-08T21:00:39Z","timestamp":1347138039000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Coderivations of Ranked Bigroupoids"],"prefix":"10.1155","volume":"2012","author":[{"given":"Young Bae","family":"Jun","sequence":"first","affiliation":[]},{"given":"Kyoung Ja","family":"Lee","sequence":"additional","affiliation":[]},{"given":"Chul Hwan","family":"Park","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2012,9,8]]},"reference":[{"key":"e_1_2_5_1_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF01953371"},{"key":"e_1_2_5_2_2","first-page":"31","volume-title":"Near-Rings and Near-Dields","author":"Bell H. E.","year":"1987"},{"key":"e_1_2_5_3_2","first-page":"63","article-title":"Prime rings with \u03b1 derivations","volume":"16","author":"Kaya K.","year":"1988","journal-title":"Hacettepe Bulletin of Natural Sciences and Engineering"},{"key":"e_1_2_5_4_2","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-1957-0095863-0"},{"key":"e_1_2_5_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2003.03.001"},{"key":"e_1_2_5_6_2","first-page":"349","article-title":"On derivations of incline algebras","volume":"71","author":"Alshehri N. O.","year":"2010","journal-title":"Scientiae Mathematicae Japonicae"},{"key":"e_1_2_5_7_2","unstructured":"AlshehriN. O. KimH. S. andNeggersJ. Derivations on ranked bigroupoids Applied Mathematics & Information Sciences. In press."},{"key":"e_1_2_5_8_2","unstructured":"JunY. B. RohE. H. andMuhiuddinG. Generalized derivations on ranked bi-groupoids Knowledge-Based Systems. Under review process."},{"volume-title":"BCI-Algebra","year":"2006","author":"Huang Y.","key":"e_1_2_5_9_2"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2012\/626781.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2012\/626781.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2012\/626781","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,11]],"date-time":"2024-06-11T06:55:45Z","timestamp":1718088945000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/2012\/626781"}},"subtitle":[],"editor":[{"given":"Hak-Keung","family":"Lam","sequence":"additional","affiliation":[]}],"short-title":[],"issued":{"date-parts":[[2012,1]]},"references-count":9,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2012,1]]}},"alternative-id":["10.1155\/2012\/626781"],"URL":"https:\/\/doi.org\/10.1155\/2012\/626781","archive":["Portico"],"relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2012,1]]},"assertion":[{"value":"2012-05-29","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2012-08-07","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2012-09-08","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"626781"}}