BiHom-Associative Algebras, BiHom-Lie Algebras and BiHom-Bialgebras
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
BiHom-Associative Algebras, BiHom-Lie Algebras and BiHom-Bialgebras
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| Creator |
Graziani, G.
Makhlouf, A. Menini, C. Panaite, F. |
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| Description |
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).
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| Date |
2019-02-13T17:49:07Z
2019-02-13T17:49:07Z 2015 |
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| Type |
Article
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| Identifier |
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.
1815-0659 2010 Mathematics Subject Classification: 17A99; 18D10; 16T99 DOI:10.3842/SIGMA.2015.086 http://dspace.nbuv.gov.ua/handle/123456789/147155 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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