dc.contributor.author | Halıcı, Serpil | en_US |
dc.contributor.author | Karataş, Adnan | en_US |
dc.contributor.author | Sütlü, Serkan Selçuk | en_US |
dc.date.accessioned | 2020-03-23T12:39:24Z | |
dc.date.available | 2020-03-23T12:39:24Z | |
dc.date.issued | 2020-07-01 | |
dc.identifier.citation | Halıcı, S., Karataş, A. & Sütlü, S. S. (2020). Hom-lie-hopf algebras. Journal of Algebra, 553, 26-88. doi:10.1016/j.jalgebra.2020.01.022 | en_US |
dc.identifier.issn | 0021-8693 | |
dc.identifier.issn | 1090-266X | |
dc.identifier.uri | https://hdl.handle.net/11729/2286 | |
dc.identifier.uri | http://dx.doi.org/10.1016/j.jalgebra.2020.01.022 | |
dc.description.abstract | We studied both the double cross product and the bicrossproduct constructions for the Hom-Hopf algebras of general (α,β)-type. This allows us to consider the universal enveloping Hom-Hopf algebras of Hom-Lie algebras, which are of (α,Id)-type. We show that the universal enveloping Hom-Hopf algebras of a matched pair of Hom-Lie algebras form a matched pair of Hom-Hopf algebras. We observe also that, the semi-dualization of a double cross product Hom-Hopf algebra is a bicrossproduct Hom-Hopf algebra. In particular, we apply this result to the universal enveloping Hom-Hopf algebras of a matched pair of Hom-Lie algebras to obtain Hom-Lie-Hopf algebras. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Academic Press Inc. | en_US |
dc.relation.isversionof | 10.1016/j.jalgebra.2020.01.022 | |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Algebra | en_US |
dc.subject | Bicrossproduct | en_US |
dc.subject | Double cross product | en_US |
dc.subject | Hom-Hopf algebras | en_US |
dc.subject | Hom-Lie algebras | en_US |
dc.subject | Lie algebra | en_US |
dc.subject | Split regular | en_US |
dc.title | Hom-Lie-Hopf algebras | en_US |
dc.type | article | en_US |
dc.description.version | Publisher's Version | en_US |
dc.relation.journal | Journal of Algebra | en_US |
dc.contributor.department | Işık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü | en_US |
dc.contributor.department | Işık University, Faculty of Arts and Sciences, Department of Mathematics | en_US |
dc.contributor.authorID | 0000-0003-0925-8668 | |
dc.identifier.volume | 553 | |
dc.identifier.startpage | 26 | |
dc.identifier.endpage | 88 | |
dc.peerreviewed | Yes | en_US |
dc.publicationstatus | Published | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.contributor.institutionauthor | Sütlü, Serkan Selçuk | en_US |
dc.relation.index | WOS | en_US |
dc.relation.index | Scopus | en_US |
dc.relation.index | Science Citation Index Expanded (SCI-EXPANDED) | en_US |
dc.description.quality | Q2 | |
dc.description.wosid | WOS:000522801000002 | |