On the iteration of linear homogeneous transformations Article Swipe

PDF

Related Concepts

Homogeneous Mathematics Applied mathematics Combinatorics

Arnold Dresden ·

YOU? · · 1942 · Open Access · · DOI: https://doi.org/10.1090/s0002-9904-1942-07736-6 · OA: W1987244936

LINEAR HOMOGENEOUS TRANSFORMATIONS 577uniquely as a product of a finite number of prime differential ideals.The consistency of the axioms is easily shown.If we define differentiation in the ring C(x), obtained by adjoining x to the field of the rational numbers, in any way so as to leave it closed, it may be shown that Axioms I-IV are always satisfied.In C(x, y) differentiation may be defined in such way that the statement as above still holds.This is of interest because every ordinary ideal in C(x, y) may not be expressed uniquely as a product of a finite number of prime ideals.