homothety (0 synonym found)

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Definition of homothety:

(n) : (mathematics, geometry) An isotropic scaling transformation of an affine space with a single fixed point.
(n) : (commutative algebra, Bourbakist) 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).

Definition of homothety:

(n) : (mathematics, geometry) An isotropic scaling transformation of an affine space with a single fixed point.
(n) : (commutative algebra, Bourbakist) 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).

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