{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,12,15]],"date-time":"2023-12-15T00:43:46Z","timestamp":1702601026808},"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>In this paper, we investigate the properties of derivations of restricted Hom-Lie triple systems. By giving the concepts of derivations, generalized derivations, centroids and Hom-p-subsystems, we obtain some good results on generalized derivation algebras and their subalgebras, which including the subspace \u2127 satisfying some conditions in the linear transformation End(L) is a restricted Hom-Lie triple system, the generalized derivation is a Hom-p-subsystem of \u2127 and the central derivation is the intersection of the centroid and the derivation. The novelty of this paper is to discuss the derivation properties of Hom-Lie triple systems on the field \ud835\udd3d\u00a0of characteristic p, which makes the derivation structure of restricted Hom-Lie triple systems more complete.<\/jats:p>","DOI":"10.3233\/faia231057","type":"book-chapter","created":{"date-parts":[[2023,12,14]],"date-time":"2023-12-14T15:09:18Z","timestamp":1702566558000},"source":"Crossref","is-referenced-by-count":0,"title":["Derivation Algebras of Restricted Hom-Lie Triple Systems"],"prefix":"10.3233","author":[{"given":"Hanqi","family":"Zhou","sequence":"first","affiliation":[{"name":"Department of Mathematics, Changchun Normal University, Jilin 130000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yanqin","family":"Dong","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Changchun Normal University, Jilin 130000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xinyang","family":"Li","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Changchun Normal University, Jilin 130000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xin","family":"Cong","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Changchun Normal University, Jilin 130000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bing","family":"Liu","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Changchun Normal University, Jilin 130000, 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\/FAIA231057","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,12,14]],"date-time":"2023-12-14T15:09:19Z","timestamp":1702566559000},"score":1,"resource":{"primary":{"URL":"https:\/\/ebooks.iospress.nl\/doi\/10.3233\/FAIA231057"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,12,12]]},"ISBN":["9781643684703","9781643684710"],"references-count":0,"URL":"https:\/\/doi.org\/10.3233\/faia231057","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]]}}}