Covariant

adj, noun

adj, noun ·Rare ·Advanced level

Definitions

Noun
  1. 1
    A bihomogeneous polynomial in x, y, ... and the coefficients of some homogeneous form in x, y, ... that is invariant under some group of linear transformations.
  2. 2
    The variety defined by a covariant.
Adjective
  1. 1
    Which preserves the order of morphism composition: formally, which associates each morphism f:X→Y to a morphism F(f):F(X)→F(Y). not-comparable
  2. 2
    Using or relating to covariance. not-comparable
Adjective
  1. 1
    changing so that interrelations with another variable quantity or set of quantities remain unchanged wordnet

Synonyms

All synonyms
variable

Example

More examples

"An affine algebraic group over a field k is a representable covariant functor from the category of commutative algebras over k to the category of groups such that the representing algebra is finitely generated."

Etymology

From co- + variant.

Related phrases

Frobenius covariant

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Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.