Currently displaying 1 – 2 of 2

Showing per page

Order by Relevance | Title | Year of publication

Algebraic characterization of finite (branched) coverings

M. Mulero — 1998

Fundamenta Mathematicae

Every continuous map X → S defines, by composition, a homomorphism between the corresponding algebras of real-valued continuous functions C(S) → C(X). This paper deals with algebraic properties of the homomorphism C(S) → C(X) in relation to topological properties of the map X → S. The main result of the paper states that a continuous map X → S between topological manifolds is a finite (branched) covering, i.e., an open and closed map whose fibres are finite, if and only if the induced homomorphism...

Algebraic properties of rings of continuous functions

M. Mulero — 1996

Fundamenta Mathematicae

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.

Page 1

Download Results (CSV)