On Invariant Elements under Automorphic Actions
Received:September 24, 1991  Revised:April 01, 1994
Key Words: automorphism   invariant elements   Hopf algebras   group-like elements.  
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Author NameAffiliation
Pan Qingnian Fuyang Normal College
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      The aim of the paper is to study the property of invariant elements(or fixed ele-ments) under antomorphic actions in algebras and Hopf algebras. It is shown that if Ais a finite d imensional semisimple algebra over a field K,then the element fixed by allautomorphsims of A is in the center of A. An example is given to show that this conclu-sion cannot be generalized to Hopf algebras. Some counter-examples of other systems areconstructed.
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