- Tytuł:
- Algebraic properties of rings of continuous functions
- Autorzy:
- Mulero, M.
- Powiązania:
- https://bibliotekanauki.pl/articles/1205521.pdf
- Data publikacji:
- 1996
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
rings of continuous functions
going-up and going-down theorems
z-ideals
primary ideals
flat modules - Opis:
- 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.
- Źródło:
-
Fundamenta Mathematicae; 1996, 149, 1; 55-66
0016-2736 - Pojawia się w:
- Fundamenta Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł