ABSTRACT
In this section and in the next one we define Kronecker extensions and develop their basic properties in terms of commutative algebra. Kronecker extensions provide the conceptual tools for Kronecker’s method of indeterminates (“Unbestimmten-Methode”). Special cases of it have been used for a long time, cf., for instance, Supplement 7 in Section 2. A modern use of the method can be found in Nagata’s book [33].
