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Glite Dictionary
🦋 One form only ➖ Injective mapping 💻 Single data type
monomorphic

monomorphic

9.9
Not giving the same output for two different inputs
  • adjective
  • /ˌmɒnəˈmɔrfɪk/
  • Specialized
translation icon : monomórfico
  • A function is considered monomorphic if it maps distinct elements to distinct elements.

Examples

  • A function is called monomorphic if it is injective in the context of set theory.

  • In category theory, an arrow is monomorphic when it can be left-cancelled in compositions.

  • The professor explained that monomorphic mappings preserve the uniqueness of elements.

  • A monomorphic function is essential for this proof.

  • The concept of monomorphic mappings is fundamental in algebra.

  • In mathematics, a mapping is monomorphic if it is injective and ensures that each output corresponds to one input.

  • Understanding monomorphic mappings is crucial for grasping concepts in higher-level mathematics.

Surface Forms

monomorphic positive

Morphology

monomorphic = morphic (semi-transparent) = mono + morph + ic

The prefixed structure is clear, but the mathematical sense is a specialized extension tied to the technical notion of monomorphism.

Etymology

Monomorphic comes from the Greek parts mono- 'one' and morph 'form', keeping the idea of a single form. In mathematics a monomorphic function keeps each input separate so no two different inputs give the same result, which is why it means a map that preserves uniqueness.