Author's: Jianbin Guo
Pages: [113] - [124]
Received Date: March 31, 2011
Submitted by:
Let be a unital algebra and
be a family of linear mappings from
into itself such that
In this paper, we prove that if
for any
with
and
for all
then the restriction
to the subalgebra
generated by all idempotents of
is a higher derivation. We also show that
this kind of mappings is a higher derivation on
under some conditions.
derivation, higher derivation, idempotent.