| Conţinutul numărului revistei |
| Articolul precedent |
| Articolul urmator |
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 764 6 |
| Ultima descărcare din IBN: 2022-06-07 16:27 |
| Căutarea după subiecte similare conform CZU |
| 512.554.3+512.81 (3) |
| Algebră (400) |
 SM ISO690:2012BIYOGMAM, Guy. Nilpotency of gb-triple systems. In: Quasigroups and Related Systems, 2017, vol. 25, nr. 1(37), pp. 27-40. ISSN 1561-2848. |
| EXPORT metadate: Google Scholar Crossref CERIF DataCite Dublin Core |
 Quasigroups and Related Systems |
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| Volumul 25, Numărul 1(37) / 2017 / ISSN 1561-2848 | ||||||
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| CZU: 512.554.3+512.81 | ||||||
| MSC 2010: 17A30, 17A32, 17A40 | ||||||
| Pag. 27-40 | ||||||
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| Rezumat | ||||||
gb-triple systems are among the generalizations of Leibniz algebras (which includes Lie algebras) to ternary algebras. In this paper, we extend several results established on nilpotent Lie algebras to gb-triple systems. In particular we prove an analogue of Engel's theorem for gbtriple systems and establish some properties of nilpotent gb-triple systems in connection with their Frattini ideal. Also, we show the invariance of the nilradical under derivations. |
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| Cuvinte-cheie Triple systems, Leibniz 3-algebras, Leibniz algebras, nilpotency. |
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