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Linear vs Semisimple - What's the difference?

linear | semisimple |

As adjectives the difference between linear and semisimple

is that linear is linear (in mathematics, of first-degree polynomial) while semisimple is (mathematics|of a module) in which each submodule is a direct summand.

linear

English

(wikipedia linear)

Adjective

(en adjective)
  • Having the form of a line; straight.
  • Of or relating to lines.
  • Made in a step-by-step, logical manner.
  • (botany, of leaves) Long and narrow, with nearly parallel sides.
  • (mathematics) Of or relating to a class of polynomial of the form y = ax + b .
  • (physics) A type of length measurement involving only one spatial dimension (as opposed to area or volume).
  • See also

    * quadratic * cubic * quartic * quintic * linear algebra * areal

    Anagrams

    * ----

    semisimple

    English

    Adjective

    (-) (wikipedia semisimple)
  • (mathematics, of a module) In which each submodule is a direct summand.
  • (mathematics, of an algebra or ring)
  • (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.