TY - JOUR
T1 - z-weak ideals and prime weak ideals
TT -
JF - IJMSI
JO - IJMSI
VL - 7
IS - 2
UR - http://ijmsi.ir/article-1-354-en.html
Y1 - 2012
SP - 53
EP - 62
KW - Absolutely convex weak ideal
KW - Completely regular space
KW - Convex weak ideal
KW - F-space
KW - Prime weak ideal
KW - P-space
KW - semigroup
KW - z-weak ideal.
N2 - In this paper, we study a generalization of z-ideals in the ring C(X) of continuous real valued functions on a completely regular Hausdorff space X. The notion of a weak ideal and naturally a weak z-ideal and a prime weak ideal are introduced and it turns out that they behave such as z-ideals in C(X).
M3 10.7508/ijmsi.2012.02.005
ER -