Kronecker Extensions and Star Operations

Abstract

The all over idea of the present chapter is to associate to any ring extension A ⊂ R a commuting square of ring extensions such that B is Prüfer in T and there exists a process v↦v ∗ which associates with v in a suitable family $$\mathfrak{M}$$ of valuations of R over A a special valuation v of T over B such that v ∗∘ j = v. (“Over A” means that A v ⊃ A.)