Small extensions of Witt rings

Robert W. Fitzgerald
1999 Pacific Journal of Mathematics  
We consider certain Witt ring extensions S of a noetherian Witt ring R obtained by adding one new generator. The conditions on the new generator are those known to hold when R is the Witt ring of a field F , S is the Witt ring of a field K and K/F is an odd degree extension. We show that if R is of elementary type then so is S.
doi:10.2140/pjm.1999.189.31 fatcat:mulotephonagla7y6hkcckdiyu