【摘 要】
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We establish a universal approach to solutions of the word problem in the varieties of di-and tri-algebras.This approach,for example,allows us to apply Gr(o)bne
【机 构】
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Sobolev Institute of Mathematics, Akad.Koptyug prosp., 4 630090 Novosibirsk, Russia
论文部分内容阅读
We establish a universal approach to solutions of the word problem in the varieties of di-and tri-algebras.This approach,for example,allows us to apply Gr(o)bner Shirshov bases method for Lie algebras to solve the ideal membership problem in free Leibniz algebras (Lie di-algebras).As another application,we prove an analogue of the Poincaré-Birkhoff Witt Theorem for universal enveloping associative tri-algebra of a Lie tri-algebra (CTD1-algebra).
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