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Glite Dictionary
↔️ Partly direct ➗ Math group action
semidirect

semidirect

9.9
A combination of two mathematical parts where one part acts on the other
  • adjective
  • /ˌsɛmɪˈdaɪrɛkt/
  • Specialized
: producto semidirecto
  • In group theory, a semidirect product combines two groups with one acting on the other.

Examples

  • Understanding the semidirect case helps distinguish it from the direct product in mathematics.

  • The algebraic structure was described as a semidirect sum of two modules.

  • The group has a semidirect product structure.

  • In this case, the action is semidirect.

  • In group theory, a semidirect product combines two groups where one group acts on the other.

  • The mathematician analyzed the semidirect sum of the two algebraic structures.

  • To fully grasp the theory, one must understand the semidirect relationship between the groups.

Antonyms

indirect
12 4.3

Saying or doing something without being clear

Surface Forms

semidirect positive

Morphology

semidirect = direct (semi-transparent) = semi + direct

The form is clearly built from 'semi-' and 'direct', but the technical mathematical sense is specialized enough that it is not fully predictable for an average learner.

Etymology

In mathematics, semidirect also combines semi- ('half') and direct, and it names a way to join two parts where one part acts on the other instead of both working alone.