BANASCHEWSKI-MULVEY TYPE COMPACTIFICATION OF PROXIMAL CS\'ASZ\'AR FRAMES

Pinkie Shikweni; Jissy Nsonde-Nsayi; Hlengani Siweya

Pinkie Shikweni Department of Mathematics and Applied Mathematics, University of Limpopo, Private Bag X1106, Sovenga, 0727, SOUTH AFRICA

Jissy Nsonde-Nsayi Department of Mathematical and Statistical Sciences, North-West University Mafikeng Campus, Mmabatho 2735, SOUTH AFRICA

Hlengani Siweya Department of Mathematics and Applied Mathematics, University of Limpopo, Private Bag X1106, Sovenga, 0727, SOUTH AFRICA

Volume 9, Issue 2 Pages 207-216 June 30, 2022 327 downloads

Article overview

Abstract

A Cs\'asz\'ar frame is said to be proximal if it is symmetric, strong and regular. Our aim in this paper is to apply the methods used by Banaschewski and Mulvey in constructing the Stone-C\'ech compactification of completely regular locale to construct a compactification of a proximal Cs\'asz\'ar frame.

Keywords and Phrases

(proximal) Cs\'asz\'ar framecompactificationdense homomorphism.

AMS Subject Classification

06D06, 54D35, 54A15.

Reference information

How to Cite

Pinkie Shikweni, Jissy Nsonde-Nsayi, Hlengani Siweya (2022). BANASCHEWSKI-MULVEY TYPE COMPACTIFICATION OF PROXIMAL CS\'ASZ\'AR FRAMES. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 9(2), 207-216.

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