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ArticleOriginal scientific text

Title

Algebraic properties of rings of continuous functions

Authors 1

Affiliations

  1. Departamento de Matemáticas, Universidad de Extremadura, 06071 Badajoz, Spain

Abstract

This paper is devoted to the study of algebraic properties of rings of continuous functions. Our aim is to show that these rings, even if they are highly non-noetherian, have properties quite similar to the elementary properties of noetherian rings: we give going-up and going-down theorems, a characterization of z-ideals and of primary ideals having as radical a maximal ideal and a flatness criterion which is entirely analogous to the one for modules over principal ideal domains.

Keywords

ENG
rings of continuous functions, going-up and going-down theorems, z-ideals, primary ideals, flat modules

Bibliography

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Additional information

http://matwbn.icm.edu.pl/ksiazki/fm/fm149/fm14914.pdf

Fundamenta Mathematicae
1996/149/1
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Pages:
55-66
Main language of publication
English
Received
1995-01-06
Accepted
1995-09-28
Published
1996
Exact and natural sciences