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 -