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періодичних видань НАН України
періодичних видань НАН України
BiHom-Associative Algebras, BiHom-Lie Algebras and BiHom-Bialgebras
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- Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11
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| dc.contributor.author | Graziani, G. | |
| dc.contributor.author | Makhlouf, A. | |
| dc.contributor.author | Menini, C. | |
| dc.contributor.author | Panaite, F. | |
| dc.date.accessioned | 2019-02-13T17:49:07Z | |
| dc.date.available | 2019-02-13T17:49:07Z | |
| dc.date.issued | 2015 | |
| dc.identifier.citation | BiHom-Associative Algebras, BiHom-Lie Algebras and BiHom-Bialgebras / G. Graziani, A. Makhlouf, C. Menini, F. Panaite // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 32 назв. — англ. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 17A99; 18D10; 16T99 | |
| dc.identifier.other | DOI:10.3842/SIGMA.2015.086 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/147155 | |
| dc.description.abstract | A BiHom-associative algebra is a (nonassociative) algebra A endowed with two commuting multiplicative linear maps α,β:A→A such that α(a)(bc)=(ab)β(c), for all a,b,c∈A. This concept arose in the study of algebras in so-called group Hom-categories. In this paper, we introduce as well BiHom-Lie algebras (also by using the categorical approach) and BiHom-bialgebras. We discuss these new structures by presenting some basic properties and constructions (representations, twisted tensor products, smash products etc). | uk_UA |
| dc.description.sponsorship | This paper was written while Claudia Menini was a member of GNSAGA. Florin Panaite was supported by a grant of the Romanian National Authority for Scientific Research, CNCSUEFISCDI, project number PN-II-ID-PCE-2011-3-0635, contract nr. 253/5.10.2011. Parts of this paper have been written while Florin Panaite was a visiting professor at University of Ferrara in September 2014, supported by INdAM, and a visiting scholar at the Erwin Schrodinger Institute in Vienna in July 2014 in the framework of the “Combinatorics, Geometry and Physics” programme; he would like to thank both these institutions for their warm hospitality. The authors are grateful to the referees for their remarks and questions. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | BiHom-Associative Algebras, BiHom-Lie Algebras and BiHom-Bialgebras | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
