Definition:Ring of Integers of Number Field/Also defined as
Jump to navigation
Jump to search
Definition
Some sources define a ring of integers specifically on an algebraic number field.
The motivation behind this decision is that some mathematicians are not very interested in the general case.
However, this point of view goes against the inclusivist philosophical position endorsed by $\mathsf{Pr} \infty \mathsf{fWiki}$.
Sources
- 1991: Jürgen Neukirch: Algebraic Number Theory: Chapter $\text I$: Algebraic Integers: $\S 2$ Integrality