RT - Journal Article
T1 - z-weak ideals and prime weak ideals
JF - IJMSI
YR - 2012
JO - IJMSI
VO - 7
IS - 2
UR - http://ijmsi.ir/article-1-354-en.html
SP - 53
EP - 62
K1 - Absolutely convex weak ideal
K1 - Completely regular space
K1 - Convex weak ideal
K1 - F-space
K1 - Prime weak ideal
K1 - P-space
K1 - semigroup
K1 - z-weak ideal.
AB - 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).
LA eng
UL http://ijmsi.ir/article-1-354-en.html
M3 10.7508/ijmsi.2012.02.005
ER -