Rasheed, Mohammed Abdullah and Ghadermazi, Mostafa (2026) The Co-e-filters among C^* (X). CENTRAL ASIAN JOURNAL OF MATHEMATICAL THEORY AND COMPUTER SCIENCES, 7 (4). ISSN 2660-5309

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Abstract

Here we investigate the Co-ϵ-filter sometimes we say Co-e-filter (filters of Cozero e-set) and e-ideal association of C^* (X) for real-valued bounded continuous functions on Tychonoff space X, the essential concept of the study is Coz-filters of bounded continuous functions herein denoted by Co-e-filters for non-compact spaces. We establish the relationship among Co-ϵ-ultrafilters and the minimal prime ideals of C^* (X) providing a direct analogue to the known relationship between e-ultrafilters and maximal ideals, the central result demonstrates a precise correspondence between these co-e-ultrafilters and the minimal prime z-e-ideals of C^* (X), thereby mirroring the established association in C(X) within the bounded context.

Item Type:	Article
Uncontrolled Keywords:	Co-e-filter, ϵ-set, prime z-ϵ-ideal, Co-e-ultrafilter, C^* (X)
Subjects:	H Social Sciences
Depositing User:	admin eprints
Date Deposited:	25 Aug 2026 02:54
Last Modified:	25 Aug 2026 02:54
URI:	http://eprints.umsida.ac.id/id/eprint/17005

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