# Thread: short question in ring theory

1. ## short question in ring theory

Let F be a field. State under what circumstances, if any, F is respectively an Euclidean Domain, Principal Ideal Domain, Uniqe Factorization Domain. Justify your answers

Thank you very much in advanced

2. Originally Posted by knguyen2005
Let F be a field. State under what circumstances, if any, F is respectively an Euclidean Domain, Principal Ideal Domain, Uniqe Factorization Domain. Justify your answers

Thank you very much in advanced

Read again, carefully and understanding, the definitions of each thing, and then come back to this question: its answer is trivial in all three cases.

Tonio