Fuzzy small right ideals of rings
We introduce the notion of fuzzy small right ideal,fuzzy small right prime ideal and fuzzy maximal small right ideal in a ring. We have obtained necessary and sufficient condition for a fuzzy small right ideal to be fuzzy small prime right ideal. We have also shown that fuzzy Jacobson radical is the...
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| Format: | Article |
| Language: | English |
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University of Mohaghegh Ardabili
2013-06-01
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| Series: | Journal of Hyperstructures |
| Subjects: | |
| Online Access: | https://jhs.uma.ac.ir/article_2551_25e19f7b267e13d044c9c122044d8f08.pdf |
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| _version_ | 1850100519876427776 |
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| author | P. Dheena G. Mohanraj |
| author_facet | P. Dheena G. Mohanraj |
| author_sort | P. Dheena |
| collection | DOAJ |
| description | We introduce the notion of fuzzy small right ideal,fuzzy small right prime ideal and fuzzy maximal small right ideal in a ring. We have obtained necessary and sufficient condition for a fuzzy small right ideal to be fuzzy small prime right ideal. We have also shown that fuzzy Jacobson radical is the sum of fuzzy small right ideals. |
| format | Article |
| id | doaj-art-618215b4c8d54535bcf4d69b3c0500ed |
| institution | DOAJ |
| issn | 2251-8436 2322-1666 |
| language | English |
| publishDate | 2013-06-01 |
| publisher | University of Mohaghegh Ardabili |
| record_format | Article |
| series | Journal of Hyperstructures |
| spelling | doaj-art-618215b4c8d54535bcf4d69b3c0500ed2025-08-20T02:40:17ZengUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-84362322-16662013-06-012181710.22098/jhs.2013.25512551Fuzzy small right ideals of ringsP. Dheena0G. Mohanraj1Department of Mathematics, Annamalai University, Annamalai nagar, IndiaDepartment of Mathematics, Annamalai University, Annamalainagar, IndiaWe introduce the notion of fuzzy small right ideal,fuzzy small right prime ideal and fuzzy maximal small right ideal in a ring. We have obtained necessary and sufficient condition for a fuzzy small right ideal to be fuzzy small prime right ideal. We have also shown that fuzzy Jacobson radical is the sum of fuzzy small right ideals.https://jhs.uma.ac.ir/article_2551_25e19f7b267e13d044c9c122044d8f08.pdffuzzy algebrafuzzy small right idealsmaximal small right idealsmall prime right ideal |
| spellingShingle | P. Dheena G. Mohanraj Fuzzy small right ideals of rings Journal of Hyperstructures fuzzy algebra fuzzy small right ideals maximal small right ideal small prime right ideal |
| title | Fuzzy small right ideals of rings |
| title_full | Fuzzy small right ideals of rings |
| title_fullStr | Fuzzy small right ideals of rings |
| title_full_unstemmed | Fuzzy small right ideals of rings |
| title_short | Fuzzy small right ideals of rings |
| title_sort | fuzzy small right ideals of rings |
| topic | fuzzy algebra fuzzy small right ideals maximal small right ideal small prime right ideal |
| url | https://jhs.uma.ac.ir/article_2551_25e19f7b267e13d044c9c122044d8f08.pdf |
| work_keys_str_mv | AT pdheena fuzzysmallrightidealsofrings AT gmohanraj fuzzysmallrightidealsofrings |