A note on 2-local automorphisms of digraph algebras
J Xie, F Lu�- Linear algebra and its applications, 2004 - Elsevier
J Xie, F Lu
Linear algebra and its applications, 2004•ElsevierIn this note we show that every 2-local automorphism of a digraph algebra A is an
automorphism if in addition A is symmetric. Moreover, we produce an example to clarify that
the conclusion may not be true if A has not the extra condition of symmetry. By this means,
we give a negative answer to the question about whether every 2-local automorphism of a
digraph algebra is automatically an automorphism.
automorphism if in addition A is symmetric. Moreover, we produce an example to clarify that
the conclusion may not be true if A has not the extra condition of symmetry. By this means,
we give a negative answer to the question about whether every 2-local automorphism of a
digraph algebra is automatically an automorphism.
In this note we show that every 2-local automorphism of a digraph algebra A is an automorphism if in addition A is symmetric. Moreover, we produce an example to clarify that the conclusion may not be true if A has not the extra condition of symmetry. By this means, we give a negative answer to the question about whether every 2-local automorphism of a digraph algebra is automatically an automorphism.
Elsevier
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