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Articolul precedent |
Articolul urmator |
763 6 |
Ultima descărcare din IBN: 2022-06-07 16:27 |
Căutarea după subiecte similare conform CZU |
512.554.3+512.81 (3) |
Algebra (400) |
SM ISO690:2012 BIYOGMAM, Guy. Nilpotency of gb-triple systems. In: Quasigroups and Related Systems, 2017, vol. 25, nr. 1(37), pp. 27-40. ISSN 1561-2848. |
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Quasigroups and Related Systems | ||||||
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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