Zehra Bilgin, Elif Demir, Kürsat Hakan Oral: On 2-absorbing $z$-filters, 147-155

Abstract:

In this work, 2-absorbing $z$-filters on a topological space $X$ are defined and their general properties are examined. Moreover, the convergence of 2-absorbing $z$-filters is studied. A correspondence between 2-absorbing $z$-filters on $X$ and 2-absorbing $z$-ideals of the ring $C(X)$ of all real-valued continuous functions on $X$ is given.

Key Words: Ring of continuous functions, $z$-filters, 2-absorbing $z$-filters.

2010 Mathematics Subject Classification: Primary 54C35. Secondary 54C99.