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ON
THE TRIPOTENT PRESERVING MAPS OF
2
´
2
MATRIX
ALGEBRAS
Yu Liu (China), Zhixu Zhang (China) and Dehui Yuan (China)
Abstract
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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
for
all
or
for
all
where
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Keywords and phrases:
field, characteristic, tripotent, map. |
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