Ideals in B1(X) and residue class rings of B1(X) modulo an ideal

This paper explores the duality between ideals of the ring B1(X) of all real valued Baire one functions on a topological space X and typical families of zero sets, called ZB-filters, on X. As a natural outcome of this study, it is observed that B1(X) is a Gelfand ring but non-Noetherian in general....

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Bibliographic Details
Main Authors: A. Deb Ray, Atanu Mondal
Format: Article
Language:English
Published: Universitat Politècnica de València 2019-10-01
Series:Applied General Topology
Subjects:
Online Access:https://polipapers.upv.es/index.php/AGT/article/view/11417