Publications > Preprint server > Preprint Number 556
Preprint Number 556
556. Itaï Ben Yaacov
Tensor products of valued fields
Submission date: 6 February 2013.
We give a short argument why the tensor product valuation on K \otimes_k L is multiplicative when k is an algebraically closed valued field and K and L are valued extensions (all valuations being in R). When the valuation on k is non trivial we use the fact that ACVF, the theory of algebraically closed (non trivially) valued fields, has quantifier elimination.
Mathematics Subject Classification:
Keywords and phrases:
|Last updated: February 15 2013 15:31||Please send your corrections to:|