%0 Journal Article %A Estaji, Ali Akbar %T z-weak ideals and prime weak ideals %J Iranian Journal of Mathematical Sciences and Informatics %V 7 %N 2 %U http://ijmsi.ir/article-1-354-en.html %R 10.7508/ijmsi.2012.02.005 %D 2012 %K Absolutely convex weak ideal, Completely regular space, Convex weak ideal, F-space, Prime weak ideal, P-space, semigroup, z-weak ideal., %X 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). %> http://ijmsi.ir/article-1-354-en.pdf %P 53-62 %& 53 %! %9 Research paper %L A-10-1-117 %+ %G eng %@ 1735-4463 %[ 2012