On the essentiality and primeness of λ-super socle of C(X)

Spaces X for which the annihilator of Sλ(X), the λ-super socle of C(X) (i.e., the set of elements of C(X) that cardinality of their cozerosets are less than λ, where λ is a regular cardinal number such that λ≤|X|) is generated by an idempotent are characterized. This enables us to find a topological...

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Bibliographic Details
Main Authors: S. Mehran, M. Namdari, S. Soltanpour
Format: Article
Language:English
Published: Universitat Politècnica de València 2018-10-01
Series:Applied General Topology
Subjects:
Online Access:https://polipapers.upv.es/index.php/AGT/article/view/9058