Euclidean domain
Summary
A Euclidean domain is an integral domain with a division with remainder, in which the remainder is smaller than the divisor for some size function. The integers and the polynomials over a field are the main examples. The definition of a Euclidean domain gives the conditions.
What this node needs for W2
- edge instance_of in: at least two examples (1 of 2)
- edge not_instance_of in: at least one non-example (0 of 1)
- edge specializes both: the more general notions and the special cases (0 of 1)
The writing levels say how complete the text of a node is. They do not measure its truth.
Sources
- Web https://en.wikipedia.org/wiki/Euclidean_domain, lead section
What links here
Definitions
- Euclidean domain 0GJ2HRG95T
Instances
- Gaussian integers 0K5W69AC0J