z-weak ideals and prime weak ideals

Author(s):

Ali Akbar Estaji

Message:
Abstract:
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).
Keywords:

Absolutely convex weak ideal , Completely regular space , Convex weak ideal , F , space , Prime weak ideal , P , space , semigroup , z , weak ideal

Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:7 Issue: 2, Nov 2012
Page:
45
https://www.magiran.com/p1043209