Algebraic properties of rings of continuous functions
Mulero, M.
Fundamenta Mathematicae, Tome 149 (1996), p. 55-66 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 1996-01-01
EUDML-ID : urn:eudml:doc:212108 
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     title = {Algebraic properties of rings of continuous functions},
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Mulero, M. Algebraic properties of rings of continuous functions. Fundamenta Mathematicae, Tome 149 (1996) pp. 55-66. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv149i1p55bwm/

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