homothety

Etymology
From 🇨🇬 +.

Noun

 * 1)  An isotropic scaling transformation of an affine space with a single fixed point.
 * 2)  A homomorphism from a module $$M$$ over a ring $$A$$ to itself of the form $$\nu : x \mapsto ax$$ for some fixed $$a \in A$$ (especially when $$M=A$$; $$a$$ is said to be the ratio of the homothety, by analogy with the geometric case).
 * 1)  A homomorphism from a module $$M$$ over a ring $$A$$ to itself of the form $$\nu : x \mapsto ax$$ for some fixed $$a \in A$$ (especially when $$M=A$$; $$a$$ is said to be the ratio of the homothety, by analogy with the geometric case).
 * 1)  A homomorphism from a module $$M$$ over a ring $$A$$ to itself of the form $$\nu : x \mapsto ax$$ for some fixed $$a \in A$$ (especially when $$M=A$$; $$a$$ is said to be the ratio of the homothety, by analogy with the geometric case).
 * 1)  A homomorphism from a module $$M$$ over a ring $$A$$ to itself of the form $$\nu : x \mapsto ax$$ for some fixed $$a \in A$$ (especially when $$M=A$$; $$a$$ is said to be the ratio of the homothety, by analogy with the geometric case).

Translations

 * Esperanto: homotetio
 * French:
 * Galician:
 * Italian:
 * Polish: jednokładność, homotetia
 * Portuguese:
 * Spanish: homotecia