homothety (English, noun)
expansion: homothety (plural homotheties)
Senses:
topics: geometry
mathematics
sciences
glosses: An isotropic scaling transformation of an affine space with a single fixed point.
qualifier: commutative algebra
glosses: A homomorphism from a module M over a ring A to itself of the form ν:x↦ax for some fixed a∈A (especially when M=A; a is said to be the ratio of the homothety, by analogy with the geometric case).
Forms:
form: homotheties
tags: plural