Year: 2014
Type: article
Abstract: We give a short argument why the tensor product semi-norm on K ⊗ k L is multiplicative when k is an algebraically closed valued field and K and L are valued extensions (valued 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.
DOI: 10.1112/blms/bdu092
Author: Itaï Ben Yaacov
Language: English
Topic: Rings, Modules, and Algebras
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2147158781