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Trivial vs Semisimple - What's the difference?

trivial | semisimple |

As adjectives the difference between trivial and semisimple

is that trivial is ignorable; of little significance or value while semisimple is (mathematics|of a module) in which each submodule is a direct summand.

As a noun trivial

is (obsolete) any of the three liberal arts forming the trivium.

trivial

English

Adjective

(en adjective)
  • Ignorable; of little significance or value.
  • * 1848, , Bantam Classics (1997), 16:
  • "All which details, I have no doubt, Jones , who reads this book at his Club, will pronounce to be excessively foolish, trivial , twaddling, and ultra-sentimental."
  • Commonplace, ordinary.
  • * De Quincey
  • As a scholar, meantime, he was trivial , and incapable of labour.
  • Concerned with or involving trivia.
  • (biology) Relating to or designating the name of a species; specific as opposed to generic.
  • (mathematics) Of, relating to, or being the simplest possible case.
  • (mathematics) Self-evident.
  • Pertaining to the trivium.
  • (philosophy) Indistinguishable in case of truth or falsity.
  • Synonyms

    * (of little significance) ignorable, negligible, trifling

    Antonyms

    * nontrivial * important * significant * radical * fundamental

    Derived terms

    * trivia

    Noun

    (en noun)
  • (obsolete) Any of the three liberal arts forming the trivium.
  • (Skelton)
    (Wood)
    (Webster 1913) ----

    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.