On semigeneric tameness under base field extension

Abstract

The notions of central endolength and semigeneric tameness are introduced, and their behaviour under base field extension for finite-dimensional algebras over perfect fields are analysed. For k a perfect field, K an algebraic closure and A a finite-dimensional k-algebra, here there is a proof that is semigenerically tame if and only if A ⊗k K is tame.