Homothety

English

A homothety

Etymology

From Template:Cog + Template:M.

Pronunciation

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Noun

1. Template:Lb An isotropic scaling transformation of an affine space with a single fixed point.
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2. Template:Lb 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).

Synonyms

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Related terms

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Translations

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