{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,12,15]],"date-time":"2023-12-15T00:45:45Z","timestamp":1702601145057},"reference-count":0,"publisher":"IOS Press","isbn-type":[{"value":"9781643684703","type":"print"},{"value":"9781643684710","type":"electronic"}],"license":[{"start":{"date-parts":[[2023,12,12]],"date-time":"2023-12-12T00:00:00Z","timestamp":1702339200000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by-nc\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2023,12,12]]},"abstract":"<jats:p>This article mainly introduces some structural properties of confined \u03b4 Lie triple systems are studied by means of the relation among the restricted Lie three systems, modular Lie algebras and \u03b4 Lie triple systems. Firstly, we verify by induction that the set of all linear transformations that restricted \u03b4 Lie triple systems satisfies the condition of restricted \u03b4 Lie triple systems. Next,the first mathematical induction method is used to verify that the generalized derivations and the quasiderivations are p-subsystems of the set of all linear transformations that restricted \u03b4 Lie three systems. Finally, it is proved that if the restricted \u03b4 Lie system has a trivial center, then the center is the commutator system of the generalized derivations.<\/jats:p>","DOI":"10.3233\/faia231058","type":"book-chapter","created":{"date-parts":[[2023,12,14]],"date-time":"2023-12-14T15:09:13Z","timestamp":1702566553000},"source":"Crossref","is-referenced-by-count":0,"title":["Restricted \u03b4 Lie Triple Systems"],"prefix":"10.3233","author":[{"given":"Xin","family":"Cong","sequence":"first","affiliation":[{"name":"College of Mathematics, Changchun Normal University, Changchun, 130032, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yanqin","family":"Dong","sequence":"additional","affiliation":[{"name":"College of Mathematics, Changchun Normal University, Changchun, 130032, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hanqi","family":"Zhou","sequence":"additional","affiliation":[{"name":"College of Mathematics, Changchun Normal University, Changchun, 130032, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bing","family":"Liu","sequence":"additional","affiliation":[{"name":"College of Mathematics, Changchun Normal University, Changchun, 130032, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"7437","container-title":["Frontiers in Artificial Intelligence and Applications","Fuzzy Systems and Data Mining IX"],"original-title":[],"link":[{"URL":"https:\/\/ebooks.iospress.nl\/pdf\/doi\/10.3233\/FAIA231058","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,12,14]],"date-time":"2023-12-14T15:09:14Z","timestamp":1702566554000},"score":1,"resource":{"primary":{"URL":"https:\/\/ebooks.iospress.nl\/doi\/10.3233\/FAIA231058"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,12,12]]},"ISBN":["9781643684703","9781643684710"],"references-count":0,"URL":"https:\/\/doi.org\/10.3233\/faia231058","relation":{},"ISSN":["0922-6389","1879-8314"],"issn-type":[{"value":"0922-6389","type":"print"},{"value":"1879-8314","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,12,12]]}}}