Bézout domain [SEP] named after
so, it is not a unique factorization domain (UFD), but still is a GCD domain. The theory of Bézout domains retains many of the properties of PIDs, without requiring the Noetherian property. Bézout domains are named after the French mathematician Étienne Bézout.
Examples.
- All PIDs are Bézout domains.
- Examples of Bézout domains that are not PIDs include the ring of entire functions (functions holomorphic on the whole complex plane) and the ring of all algebraic integers. In case of entire functions,
. He died prematurely at 37 years of age in 1934 in Münster Germany, due to lung cancer.
Mathematical Contributions.
Heinz Prüfer created the following mathematical expressions which were later named after him:
- Prüfer sequence (also known as Prüfer Code; it has broad applications in Graph Theory and Network theory).
- Prüfer domain. Also see Bézout domain which is a Prüfer domain
- Prüfer rank
- Prüfer manifold also known as Prüfer surface or Prüfer analytical manifold
- Prüfer group
- Prüfer