semisimple
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English
Etymology
Adjective
semisimple (not comparable)
- (mathematics, of a module) In which each submodule is a direct summand.
- (mathematics, of an algebra or ring) diagonalizable.
- (mathematics, of an operator or matrix) For which every invariant subspace has an invariant complement, equivalent to the minimal polynomial being squarefree.
- (mathematics, of a Lie algebra) Being a direct sum of simple Lie algebras.
- (mathematics, of an algebraic group) Being a linear algebraic group whose radical of the identity component is trivial.
French
Alternative forms
Etymology
Adjective
semisimple (plural semisimples)