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Orthogonal conjugacies in associative and Lie algebras

1964
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Transactions of the American Mathematical Society
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Introduction. If A is a (finite-dimensional) associative algebra over a field F with radical R such that A/R is separable (semi simple, and remains semisimple under any extension of F), then the well-known Wedderburn principal theorem states that A is a semi-direct sum T+ R, where Tis a subalgebra of A isomorphic to A/R. Tis a maximal separable subalgebra of A and will be also called a Wedderburn factor of A. The Malcev theorem (see [6] ) states that any two maximal separable subalgebras of A

doi:10.1090/s0002-9947-1964-0163930-7
fatcat:4judrdidujdmlefjmsdklfw57i