Definition:Generator


 * Definition:Generator of Algebraic Structure
 * Definition:Generator of Magma
 * Definition:Generator of Semigroup
 * Definition:Generator of Monoid
 * Definition:Generator of Group
 * Definition:Generator of Subgroup
 * Definition:Generator of Cyclic Group
 * Definition:Generator of Ideal of Ring
 * Definition:Generator of Module
 * Definition:Generator of Ring
 * Definition:Generator of Division Ring
 * Definition:Generator of Field
 * Definition:Generator of Field Extension
 * Definition:Generator of Algebra over Ring
 * Definition:Generator of Algebra


 * Definition:Generator of Category
 * Definition:Infinitesimal Generator of One-Parameter Group

Also known as
Some sources refer to a generator for rather than generator of. The two terms mean the same.

Notation
We can also write $\gen {X \cup Y}$ as $\gen {X, Y}$.

Also see

 * Definition:Generated