{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T10:41:53Z","timestamp":1740134513088,"version":"3.37.3"},"reference-count":15,"publisher":"Wiley","license":[{"start":{"date-parts":[[2012,1,1]],"date-time":"2012-01-01T00:00:00Z","timestamp":1325376000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2012]]},"abstract":"<jats:p>We associate a graph to any subset<jats:italic>Y<\/jats:italic>of a<jats:italic>BCI<\/jats:italic>-algebra<jats:italic>X<\/jats:italic>and denote it by<jats:italic>G(Y)<\/jats:italic>. Then we find the set of all connected components of<jats:italic>G(X)<\/jats:italic>and verify the relation between<jats:italic>X<\/jats:italic>and<jats:italic>G(X)<\/jats:italic>, when<jats:italic>X<\/jats:italic>is commutative<jats:italic>BCI<\/jats:italic>-algebra or<jats:italic>G(X)<\/jats:italic>is complete graph or<jats:italic>n<\/jats:italic>-star graph. Finally, we attempt to investigate the relation between some operations on graph and some operations on<jats:italic>BCI<\/jats:italic>-algebras.<\/jats:p>","DOI":"10.1155\/2012\/126835","type":"journal-article","created":{"date-parts":[[2012,2,15]],"date-time":"2012-02-15T16:00:35Z","timestamp":1329321635000},"page":"1-16","source":"Crossref","is-referenced-by-count":2,"title":["Graph of<i>BCI<\/i>-Algebras"],"prefix":"10.1155","volume":"2012","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1869-9679","authenticated-orcid":true,"given":"Omid","family":"Zahiri","sequence":"first","affiliation":[{"name":"Department of Mathematics, Shahid Beheshti University, 1983963113 Evin, Tehran, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Rajab Ali","family":"Borzooei","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Shahid Beheshti University, 1983963113 Evin, Tehran, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"8","doi-asserted-by":"publisher","DOI":"10.3792\/pja\/1195522169"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.3792\/pja\/1195522171"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1016\/0021-8693(88)90202-5"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1155\/2011\/616981"},{"issue":"1","key":"1","first-page":"39","volume":"36","year":"1991","journal-title":"Mathematica Japonica"},{"issue":"1","key":"5","first-page":"163","volume":"37","year":"1992","journal-title":"Mathematica Japonica"},{"issue":"5","key":"6","first-page":"693","volume":"32","year":"1987","journal-title":"Mathematica Japonica"},{"issue":"1","key":"12","first-page":"33","volume":"47","year":"1998","journal-title":"Mathematica Japonica"},{"issue":"3","key":"13","first-page":"569","volume":"37","year":"1992","journal-title":"Mathematica Japonica"},{"year":"2006","key":"14"},{"issue":"5","key":"15","first-page":"815","volume":"36","year":"1991","journal-title":"Mathematica Japonica"},{"year":"1994","key":"11"},{"volume":"244","year":"2008","series-title":"Graduate Texts in Mathematics","key":"4"},{"volume":"173","year":"1997","series-title":"Graduate Texts in Mathematics","key":"7"},{"year":"1974","key":"2"}],"container-title":["International Journal of Mathematics and Mathematical Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2012\/126835.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2012\/126835.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2012\/126835.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2016,8,2]],"date-time":"2016-08-02T12:16:57Z","timestamp":1470140217000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/ijmms\/2012\/126835\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012]]},"references-count":15,"alternative-id":["126835","126835"],"URL":"https:\/\/doi.org\/10.1155\/2012\/126835","relation":{},"ISSN":["0161-1712","1687-0425"],"issn-type":[{"type":"print","value":"0161-1712"},{"type":"electronic","value":"1687-0425"}],"subject":[],"published":{"date-parts":[[2012]]}}}