semisimple

  1. Adjective.  (mathematics, of a module) In which each submodule is a direct summand.
  2. Adjective.  (mathematics, of an algebra or ring) (rfdef, lang en) .
  3. Adjective.  (mathematics, of an operator or matrix) For which every invariant subspace has an invariant complement, equivalent to the minimal polynomial being squarefree.
  4. Adjective.  (mathematics, of a Lie algebra) Being a direct sum of simple Lie algebras.
  5. Adjective.  (mathematics, of an algebraic group) Being a linear algebraic group whose radical of the identity component is trivial.

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This entry was last updated on RefTopia from its source on 3/20/2012.