Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

On z◦ -ideals in C(X)

100%

Azarpanah F., O. A. S Karamzadeh, Rezai Aliabad A.

Fundamenta Mathematicae

1999

tom 160

nr 1

15-25

An ideal I in a commutative ring R is called a z°-ideal if I consists of zero divisors and for each a ∈ I the intersection of all minimal prime ideals containing a is contained in I. We characterize topological spaces X for which z-ideals and z°-ideals coincide in , or equivalently, the sum of any two ideals consisting entirely of zero divisors consists entirely of zero divisors. Basically disconnected spaces, extremally disconnected and P-spaces are characterized in terms of z°-ideals. Finally, we construct two topological almost P-spaces X and Y which are not P-spaces and such that in every prime z°-ideal is either a minimal prime ideal or a maximal ideal and in C(Y) there exists a prime z°-ideal which is neither a minimal prime ideal nor a maximal ideal.

Ograniczanie wyników

1 Fundamenta Mathematicae

1 Azarpanah F.

1 O. A. S Karamzadeh

1 Rezai Aliabad A.

1 1999

Wyniki wyszukiwania

On z◦ -ideals in C(X)