{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:46:37Z","timestamp":1753886797564,"version":"3.41.2"},"reference-count":9,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2010,3,15]],"date-time":"2010-03-15T00:00:00Z","timestamp":1268611200000},"content-version":"vor","delay-in-days":73,"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":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2010,1]]},"abstract":"<jats:p>The notions of <jats:italic>\ud835\udca9<\/jats:italic>\u2010subalgebras and <jats:italic>\ud835\udca9<\/jats:italic>\u2010closed ideals in BCH\u2010algebras are introduced, and the relation between <jats:italic>\ud835\udca9<\/jats:italic>\u2010subalgebras\n and <jats:italic>\ud835\udca9<\/jats:italic>\u2010closed ideals is considered. \n Characterizations of <jats:italic>\ud835\udca9<\/jats:italic>\u2010subalgebras and <jats:italic>\ud835\udca9<\/jats:italic>\u2010closed ideals are provided. Using special subsets, <jats:italic>\ud835\udca9<\/jats:italic>\u2010subalgebras and\n <jats:italic>\ud835\udca9<\/jats:italic>\u2010closed ideals are constructed. \n A condition for an <jats:italic>\ud835\udca9<\/jats:italic>\u2010subalgebra to be an\n <jats:italic>\ud835\udca9<\/jats:italic>\u2010closed ideal is discussed. Given an <jats:italic>\ud835\udca9<\/jats:italic>\u2010structure,\n the greatest <jats:italic>\ud835\udca9<\/jats:italic>\u2010closed ideal which is contained in the <jats:italic>\ud835\udca9<\/jats:italic>\u2010structure is established.<\/jats:p>","DOI":"10.1155\/2010\/943565","type":"journal-article","created":{"date-parts":[[2010,3,15]],"date-time":"2010-03-15T15:30:14Z","timestamp":1268667014000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["<i>\ud835\udca9<\/i>\u2010Structures Applied to Closed Ideals in BCH\u2010Algebras"],"prefix":"10.1155","volume":"2010","author":[{"given":"Young Bae","family":"Jun","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mehmet Ali","family":"\u00d6zt\u00fcrk","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Eun Hwan","family":"Roh","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2010,3,15]]},"reference":[{"key":"e_1_2_5_1_2","first-page":"313","article-title":"On BCH-algebras","volume":"11","author":"Hu Q. P.","year":"1983","journal-title":"Mathematics Seminar Notes. Kobe University"},{"key":"e_1_2_5_2_2","first-page":"659","article-title":"On proper BCH-algebras","volume":"30","author":"Hu Q. P.","year":"1985","journal-title":"Mathematica Japonica"},{"key":"e_1_2_5_3_2","first-page":"801","article-title":"On classification of BCH-algebras","volume":"35","author":"Ahmad B.","year":"1990","journal-title":"Mathematica Japonica"},{"key":"e_1_2_5_4_2","first-page":"1131","article-title":"On decompositions of BCH-algebras","volume":"35","author":"Dudek W. A.","year":"1990","journal-title":"Mathematica Japonica"},{"key":"e_1_2_5_5_2","first-page":"417","article-title":"\ud835\udca9-ideals of BCK\/BCI-algebras","volume":"22","author":"Jun Y. B.","year":"2009","journal-title":"The Journal of Chungcheong Mathematical Society"},{"key":"e_1_2_5_6_2","first-page":"101","article-title":"Ideals and filters in BCH-algebras","volume":"44","author":"Chaudhry M. A.","year":"1996","journal-title":"Mathematica Japonica"},{"key":"e_1_2_5_7_2","first-page":"665","article-title":"On BCH-algebras","volume":"36","author":"Chaudhry M. A.","year":"1991","journal-title":"Mathematica Japonica"},{"key":"e_1_2_5_8_2","first-page":"35","article-title":"On transfer principle of fuzzy BCK\/BCI-algebras","volume":"59","author":"Jun Y. B.","year":"2004","journal-title":"Scientiae Mathematicae Japonicae"},{"key":"e_1_2_5_9_2","first-page":"41","article-title":"On the transfer principle in fuzzy theory","volume":"12","author":"Kondo M.","year":"2005","journal-title":"Mathware & Soft Computing"}],"container-title":["International Journal of Mathematics and Mathematical Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2010\/943565.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2010\/943565.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2010\/943565","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,18]],"date-time":"2024-06-18T16:28:56Z","timestamp":1718728136000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/2010\/943565"}},"subtitle":[],"editor":[{"given":"Ilya M.","family":"Spitkovsky","sequence":"additional","affiliation":[],"role":[{"role":"editor","vocabulary":"crossref"}]}],"short-title":[],"issued":{"date-parts":[[2010,1]]},"references-count":9,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2010,1]]}},"alternative-id":["10.1155\/2010\/943565"],"URL":"https:\/\/doi.org\/10.1155\/2010\/943565","archive":["Portico"],"relation":{},"ISSN":["0161-1712","1687-0425"],"issn-type":[{"type":"print","value":"0161-1712"},{"type":"electronic","value":"1687-0425"}],"subject":[],"published":{"date-parts":[[2010,1]]},"assertion":[{"value":"2009-12-28","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2010-02-09","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2010-03-15","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"943565"}}