(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).
(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).