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On The Ideal Structure Of The Ring Of Entire Functions, Melvin Henriksen
On The Ideal Structure Of The Ring Of Entire Functions, Melvin Henriksen
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Let R be the ring of entire functions, and let K be the complex field. The ring R consists of all functions from K to K differentiable everywhere (in the usual sense).
The algebraic structure of the ring of entire functions seems to have been investigated extensively first by O. Helmer [1].
The ideals of R are herein classified as in [2]: an ideal I is called fixed if every function in it vanishes at at least one common point; otherwise, I is called free. The structure of the fixed ideals was determined in [1]. The structure of the …