semisimple

English

semi- +‎ simple

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.

semi- +‎ simple

semisimple (plural semisimples)

单词	semisimple
释义	semisimple English Etymology semi- +‎ simple 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 semi-simple Etymology semi- +‎ simple Adjective semisimple (plural semisimples) (mathematics) semisimple
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