The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Currently displaying 1 – 1 of 1

Showing per page

Order by Relevance | Title | Year of publication

Correspondences between ideals and z -filters for rings of continuous functions between C and C

Phyllis PanmanJoshua SackSaleem Watson — 2012

Commentationes Mathematicae

Let X be a completely regular topological space. Let A ( X ) be a ring of continuous functions between C ( X ) and C ( X ) , that is, C ( X ) A ( X ) C ( X ) . In [9], a correspondence 𝒵 A between ideals of A ( X ) and z -filters on X is defined. Here we show that 𝒵 A extends the well-known correspondence for C ( X ) to all rings A ( X ) . We define a new correspondence 𝒵 A and show that it extends the well-known correspondence for C ( X ) to all rings A ( X ) . We give a formula that relates the two correspondences. We use properties of 𝒵 A and 𝒵 A to characterize C ( X ) and C ( X ) among...

Page 1

Download Results (CSV)