Gelfand-Kirillov Dimension and Local Finiteness of Special Jordan Superalgebras
In this work we extend to superalgebras a result of Skosyrskii
[Algebra and Logic, 18 (1) (1979) 49-57, Lemma 2] relating associative
and Jordan structures. As an application, we use it to show that the
Gelfand-Kirillov dimension of an associative superalgebra coincides with
that of its symmetrization, and that local finiteness is equivalent in
associative superalgebras and in their symmetrizations.
E. Garcia < egarciag@mat.ucm.es >