Abstract
The involutions in a compact ring with identity are investigated. It is shown that if the number m of involutions in an arbitrary ring A is finite and greater than one, then m is even. A characterization of those compact rings A having precisely one or two involutions is given. Moreover, those compact rings A for which 2 is a unit in A and the set of involutions in A forms a finite abelian group are characterized by the number of involutions in A.
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