ON THE TRIPOTENT PRESERVING MAPS OF 2 ? 2 MATRIX ALGEBRAS
Let F be an arbitrary field of characteristic Char F different from 2 and 3. Let
be the
matrix algebra over F, and T be the set of all tripotents. We use
to denote the set of all injective maps of
to itself such that if
then
for all
In this paper, we prove that
if and only if there is an invertible matrix
such that
or
where
field, characteristic, tripotent, map.
