Mappings to Realcompactifications
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 state...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Shahid Beheshti University
2019-01-01
|
| Series: | Categories and General Algebraic Structures with Applications |
| Subjects: | |
| Online Access: | http://www.cgasa.ir/article_61474_334ea333a835b3a3209264236e96b85c.pdf |
| Summary: | 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. <br />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. |
|---|---|
| ISSN: | 2345-5853 2345-5861 |