different between subspace vs semisimple

English

Etymology 1

sub- +? space

Noun

subspace (countable and uncountable, plural subspaces)

1. (countable, mathematics) A subset of a space which is a space in its own right.
2. (uncountable, science fiction) Any (often unspecified) method of communicating faster than light speed.

Derived terms

• cyclic subspace
• invariant subspace
• linear subspace

Translations

Etymology 2

sub +? space (in sense of submissive), punning on the other etymology from sub-.

Noun

subspace (uncountable)

1. (BDSM) The psychological state of the submissive or "bottom" during sadomasochistic activity.

Coordinate terms

• topspace

English

Etymology

semi- +? simple

Adjective

semisimple (not comparable)

1. (mathematics, of a module) In which each submodule is a direct summand.
2. (mathematics, of an algebra or ring) diagonalizable.
3. (mathematics, of an operator or matrix) For which every invariant subspace has an invariant complement, equivalent to the minimal polynomial being squarefree.
4. (mathematics, of a Lie algebra) Being a direct sum of simple Lie algebras.
5. (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)

1. (mathematics) semisimple