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Summand vs Semisimple - What's the difference?

summand | semisimple |

As a noun summand

is something which is added or summed; for example in 1+2=3 the summands are 1 and 2 which form the sum, 3.

As an adjective semisimple is

in which each submodule is a direct summand.

summand

English

(Addition)

Noun

(en noun)
  • Something which is added or summed; for example in 1+2=3'' the summands are ''1'' and ''2'' which form the sum, ''3 .

    • See also

    * addition, summation: (augend) + (addend) = (summand) + (summand) = (sum, total) * subtraction: (minuend) ? (subtrahend) = (difference) * multiplication: (multiplier) × (multiplicand) = (factor) × (factor) = (product) * division: (dividend) ÷ (divisor) = (quotient), remainder left over if divisor does not divide dividend

    Synonyms

    * addend

    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.