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Algebraic properties of rings of continuous functions

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Mulero M. A.

Fundamenta Mathematicae

1996

tom 149

nr 1

55-66

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.

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1 Fundamenta Mathematicae

1 Mulero M. A.

1 1996

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Algebraic properties of rings of continuous functions