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Glite Dictionary
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primitivity

primitivity

9.9
A ring or algebra that has a simple module that reflects its structure exactly
  • noun
  • /prɪˈmɪtɪvɪti/
  • Specialized
translation icon : primitividad
  • They proved the primitivity of the structure by constructing a faithful simple module.

Examples

  • Establishing primitivity can be challenging for certain classes of rings.

  • The primitivity of this ring is essential for its structure.

  • The mathematician discussed the primitivity of the algebra in her lecture.

  • Understanding primitivity helps in classifying algebraic structures.

  • Establishing primitivity can be challenging for certain classes of rings.

  • They proved the primitivity of the structure by constructing a faithful simple module.

  • The mathematician discussed the primitivity of the algebra in her lecture.

Surface Forms

primitivity singular
primitivities plural

Morphology

primitivity = primitive (opaque) = primitive + ity

The -ity nominalization is regular, but the algebraic sense of 'primitive' (having a faithful simple module) is a technical term not inferable from the common adjective.

Etymology

Primitivity comes from the Latin root prim- meaning 'first', like the word prime. For a ring or algebra, primitivity means it is a basic or 'first' kind of structure because it has a simple 'module' that fully shows how the algebra works.