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