J. Aust. Math. Soc.
77 (2004), 123-128
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Involutions on finite-dimensional algebras over real closed fields
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W. D. Munn
Department of Mathematics
University of Glasgow
Glasgow G12 8QW
Scotland
UK
wdm@maths.gla.ac.uk
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Abstract
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It is shown that the following conditions on a
finite-dimensional algebra
 over a real closed field or an algebraically
closed field of characteristic zero are
equivalent: (i) admits a special involution, in the sense of
Easdown and
Munn, (ii) admits a proper
involution, (iii) is semisimple.
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