Mappings to Realcompactifications

Autor: Mehdi Parsinia
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Categories and General Algebraic Structures with Applications, Vol 10, Iss 1, Pp 107-116 (2019)
Druh dokumentu: article
ISSN: 2345-5853
2345-5861
Popis: In this paper, we introduce and study a mapping from the collection of all intermediate rings of $C(X)$ to the collection of all realcompactifications of $X$ contained in $beta X$. By establishing the relations between this mapping and its converse, we give a different approach to the main statements of De et. al. Using these, we provide different answers to the four basic questions raised in Acharyya et.al. Finally, we give some notes on the realcompactifications generated by ideals.
Databáze: Directory of Open Access Journals