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...
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Shahid Beheshti University
2019-01-01
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| Series: | Categories and General Algebraic Structures with Applications |
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| Online Access: | http://www.cgasa.ir/article_61474_334ea333a835b3a3209264236e96b85c.pdf |
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doaj-3e45930420fc4869ad2c25704eb6a3d92020-11-25T00:01:32ZengShahid Beheshti UniversityCategories and General Algebraic Structures with Applications2345-58532345-58612019-01-0110110711661474Mappings to RealcompactificationsMehdi Parsinia0Departemant of Mathematics, Shahid Chamran University, Ahvaz, IranIn 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.http://www.cgasa.ir/article_61474_334ea333a835b3a3209264236e96b85c.pdfRealcompacificationintermediate ringintermediate $C$-ring |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Mehdi Parsinia |
| spellingShingle |
Mehdi Parsinia Mappings to Realcompactifications Categories and General Algebraic Structures with Applications Realcompacification intermediate ring intermediate $C$-ring |
| author_facet |
Mehdi Parsinia |
| author_sort |
Mehdi Parsinia |
| title |
Mappings to Realcompactifications |
| title_short |
Mappings to Realcompactifications |
| title_full |
Mappings to Realcompactifications |
| title_fullStr |
Mappings to Realcompactifications |
| title_full_unstemmed |
Mappings to Realcompactifications |
| title_sort |
mappings to realcompactifications |
| publisher |
Shahid Beheshti University |
| series |
Categories and General Algebraic Structures with Applications |
| issn |
2345-5853 2345-5861 |
| publishDate |
2019-01-01 |
| description |
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. |
| topic |
Realcompacification intermediate ring intermediate $C$-ring |
| url |
http://www.cgasa.ir/article_61474_334ea333a835b3a3209264236e96b85c.pdf |
| work_keys_str_mv |
AT mehdiparsinia mappingstorealcompactifications |
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1725441516388745216 |