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Ultima descărcare din IBN: 2023-07-20 10:36 |
SM ISO690:2012 ATTAN, Sylvain, ISSA, Nourou. Hom-Bol algebras. In: Quasigroups and Related Systems, 2013, vol. 21, nr. 2(30), pp. 131-146. ISSN 1561-2848. |
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Quasigroups and Related Systems | ||||||
Volumul 21, Numărul 2(30) / 2013 / ISSN 1561-2848 | ||||||
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Pag. 131-146 | ||||||
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Hom-Bol algebras are dened as a twisted generalization of (left) Bol algebras. Hom-Bol algebras generalize multiplicative Hom-Lie triple systems in the same way as Bol algebras generalize Lie triple systems. The notion of an nth derived (binary) Hom-algebra is extended to the one of an nth derived binary-ternary Hom-algebra and it is shown that the category of Hom-Bol algebras is closed under the process of taking nth derived Hom-algebras. It is also closed by self-morphisms of binary-ternary Hom-algebras. Every Bol algebra is twisted into a Hom-Bol algebra. Some examples of low-dimensional Hom-Bol algebras are given. |
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Cuvinte-cheie Lie triple system, Bol algebra, Hom-Lie algebra, Hom-Lie triple system, Hom-Akivis algebra, Hom-Bol algebra |
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