منابع مشابه
Malcev Algebras and Combinatorial Structures
In this work, we design an algorithmic method to associate combinatorial structures with finite-dimensional Malcev algebras. In addition to its theoretical study, we have performed the implementation of procedures to construct the digraph associated with a given Malcev algebra (if its associated combinatorial structure is a digraph) and, conversely, a second procedure to test if a given digraph...
متن کاملOn Derivation Algebras of Malcev Algebras and Lie Triple Systems
W. H. Davenport has shown that the derivation algebra 3)(4) of a semisimple Malcev algebra A of characteristic 0 acts completely reducibly on A. The purpose of the present note is to characterize those Malcev algebras which have such derivation algebras as those whose radical is central and to obtain the same result for Lie triple systems. Analogous results are known to hold for standard and al...
متن کاملTernary analogues of Lie and Malcev algebras
We consider two analogues of associativity for ternary algebras: total and partial associativity. Using the corresponding ternary associators, we define ternary analogues of alternative and assosymmetric algebras. On any ternary algebra the alternating sum [a, b, c] = abc − acb − bac + bca + cab − cba (the ternary analogue of the Lie bracket) defines a structure of an anticommutative ternary al...
متن کاملAbout Levi-malcev Theorem for Homogeneous Bol Algebras
The fundamental ideas of the applicability of Levi-Malcev Theorem for Bol algebras, which plays a basic role in structural theory are outlined
متن کاملEnveloping algebras of the nilpotent Malcev algebra of dimension five
Pérez-Izquierdo and Shestakov recently extended the PBW theorem to Malcev algebras. It follows from their construction that for any Malcev algebra M over a field of characteristic 6= 2, 3 there is a representation of the universal nonassociative enveloping algebra U(M) by linear operators on the polynomial algebra P (M). For the nilpotent non-Lie Malcev algebra M of dimension 5, we use this rep...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1986
ISSN: 0021-8693
DOI: 10.1016/0021-8693(86)90168-7