Volume 7, Issue 2 (11-2012)
IJMSI 2012, 7(2): 53-62 |
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Estaji A A. z-weak ideals and prime weak ideals. IJMSI 2012; 7 (2) :53-62
URL: http://ijmsi.ir/article-1-354-en.html
URL: http://ijmsi.ir/article-1-354-en.html
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.
Type of Study: Research paper |
Subject:
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