Involutions on finite-dimensional algebras over real closed fields
2004 ◽
Vol 77
(1)
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pp. 123-128
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Keyword(s):
AbstractIt is shown that the following conditions on a finite-dimensional algebra A over a real closed field or an algebraically closed field of characteristic zero are equivalent: (i) A admits a special involution, in the sense of Easdown and Munn, (ii) A admits a proper involution, (iii) A is semisimple.