1 Answers
In abstract algebra, an R {\displaystyle R} -algebra A {\displaystyle A} is finite if it is finitely generated as an R {\displaystyle R} -module. An R {\displaystyle R} -algebra can be thought as a homomorphism of rings f : R → A {\displaystyle f\colon R\to A} , in this case f {\displaystyle f} is called a finite morphism if A {\displaystyle A} is a finite R {\displaystyle R} -algebra.
The definition of finite algebra is related to that of algebras of finite type.
4 views
Answered