Title of article :
Speciality of Malcev superalgebras on one odd generator
Author/Authors :
Ivan Shestakov، نويسنده , , Natalia Zhukavets، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2006
Pages :
14
From page :
587
To page :
600
Abstract :
It is proved that every Malcev superalgebra generated by an odd element is special, that is, isomorphic to a subsuperalgebra of the commutator Malcev superalgebra A− for a certain alternative superalgebra A. As a corollary, it is shown that the kernel of the natural homomorphism of the free Malcev algebra Malc[X] of countable rank into the commutator Malcev algebra Alt[X]− of the corresponding free alternative algebra Alt[X], does not contain skew-symmetric multilinear elements. In other words, there are no skew-symmetric Malcev s-identities. Another corollary is speciality of the Malcev Grassmann algebra.
Journal title :
Journal of Algebra
Serial Year :
2006
Journal title :
Journal of Algebra
Record number :
697578
Link To Document :
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