Реферат: We introduce a notion of variety of RLT-algebras as a variety of ternary anticommutative algebras such that the Jacobian is skew-symmetric in all the arguments. The algebras in this variety possess the property that their reduced algebra is a Lie algebra. We show that this variety properly contains the variety of Filippov algebras and coincides with the variety of Filippov algebras in the presence of a non-degenerate (skew)symmetric anti-invariant form. We also obtain some structure results on RLT-algebras.

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РЕДУЦИРОВАННО ЛИЕВЫ ТЕРНАРНЫЕ АЛГЕБРЫ
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2014. Т.11. С.508–516. РИНЦ

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22813561

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