Residue Class Rings of Real-Analytic and Entire Functions

Abstract

Let A(R) and E(R) denote respectively the ring of analytic and real entire functions in one variable. It is shown that if m is a maximal ideal of A(R), then A(R)/m is isomorphic either to the reals or a real closed field that is an η1-set, while if m is a maximal ideal of E(R), then E(R)/m is isomorphic to one of the latter two fields or to the field of… (More)

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Cite this paper

@inproceedings{Golasinski2005ResidueCR, title={Residue Class Rings of Real-Analytic and Entire Functions}, author={Marek Golasinski and Melvin Henriksen and Harvey Mudd and COLLOQU IUM and MATHEMAT I CUM}, year={2005} }