{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,8,29]],"date-time":"2024-08-29T05:03:22Z","timestamp":1724907802391},"reference-count":9,"publisher":"World Scientific Pub Co Pte Lt","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2004,6]]},"abstract":"<jats:p> Let L be a finitely generated free Lie algebra. We construct an example of two elements u and v of L such that the factor algebras L\/(u) and L\/(v) are isomorphic, where (u) and (v) are ideals of L generated by u and v, respectively, but there is no automorphism \u03c6 of L such that \u03c6(u)=v. <\/jats:p>","DOI":"10.1142\/s0218196704001773","type":"journal-article","created":{"date-parts":[[2004,6,21]],"date-time":"2004-06-21T08:14:10Z","timestamp":1087805650000},"page":"389-393","source":"Crossref","is-referenced-by-count":4,"title":["ON ISOMORPHISM OF LIE ALGEBRAS WITH ONE DEFINING RELATION"],"prefix":"10.1142","volume":"14","author":[{"given":"ALEXANDER A.","family":"MIKHALEV","sequence":"first","affiliation":[{"name":"Department of Mechanics and Mathematics, Moscow State University, Moscow, 119899, Russia"}]},{"given":"VLADIMIR","family":"SHPILRAIN","sequence":"additional","affiliation":[{"name":"Department of Mathematics, The City College of New York, New York, NY 10031, USA"}]},{"given":"UALBAI U.","family":"UMIRBAEV","sequence":"additional","affiliation":[{"name":"Euroasia State University, Astana, Kazakstan"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1016\/0021-8693(76)90027-2"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1142\/S021819670300133X"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-61896-3"},{"key":"rf5","first-page":"141","volume":"163","author":"Magnus W.","journal-title":"J. Reine Angew. Math."},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1016\/0021-8693(71)90067-6"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1006\/jabr.2001.8794"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1142\/S021819679400018X"},{"key":"rf9","first-page":"292","volume":"3","author":"Shirshov A. I.","journal-title":"Sib. Mat. Zh."},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1112\/S002460930300225X"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196704001773","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T22:23:49Z","timestamp":1565130229000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196704001773"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2004,6]]},"references-count":9,"journal-issue":{"issue":"03","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2004,6]]}},"alternative-id":["10.1142\/S0218196704001773"],"URL":"https:\/\/doi.org\/10.1142\/s0218196704001773","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2004,6]]}}}