Commutative reduced filial rings
A ring \(R\) is filial when for every \(I\), \(J\), if \(I\) is an ideal of \(J\) and \(J\) is an ideal of \(R\) then \(I\) is an ideal of \(R\). Several characterizations and results on structure of commutative reduced filial rings are obtained.
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| Date: | 2018 |
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| Language: | English |
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Lugansk National Taras Shevchenko University
2018
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| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/854 |
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| Journal Title: | Algebra and Discrete Mathematics |
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admjournalluguniveduua-article-8542018-03-21T12:28:31Z Commutative reduced filial rings Andruszkiewicz, Ryszard R. Sobolewska, Magdalena ideal, filial ring, reduced ring 16D25, 16D70, 13G05 A ring \(R\) is filial when for every \(I\), \(J\), if \(I\) is an ideal of \(J\) and \(J\) is an ideal of \(R\) then \(I\) is an ideal of \(R\). Several characterizations and results on structure of commutative reduced filial rings are obtained. Lugansk National Taras Shevchenko University 2018-03-21 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/854 Algebra and Discrete Mathematics; Vol 6, No 3 (2007) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/854/384 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
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| datestamp_date |
2018-03-21T12:28:31Z |
| collection |
OJS |
| language |
English |
| topic |
ideal filial ring reduced ring 16D25 16D70 13G05 |
| spellingShingle |
ideal filial ring reduced ring 16D25 16D70 13G05 Andruszkiewicz, Ryszard R. Sobolewska, Magdalena Commutative reduced filial rings |
| topic_facet |
ideal filial ring reduced ring 16D25 16D70 13G05 |
| format |
Article |
| author |
Andruszkiewicz, Ryszard R. Sobolewska, Magdalena |
| author_facet |
Andruszkiewicz, Ryszard R. Sobolewska, Magdalena |
| author_sort |
Andruszkiewicz, Ryszard R. |
| title |
Commutative reduced filial rings |
| title_short |
Commutative reduced filial rings |
| title_full |
Commutative reduced filial rings |
| title_fullStr |
Commutative reduced filial rings |
| title_full_unstemmed |
Commutative reduced filial rings |
| title_sort |
commutative reduced filial rings |
| description |
A ring \(R\) is filial when for every \(I\), \(J\), if \(I\) is an ideal of \(J\) and \(J\) is an ideal of \(R\) then \(I\) is an ideal of \(R\). Several characterizations and results on structure of commutative reduced filial rings are obtained. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/854 |
| work_keys_str_mv |
AT andruszkiewiczryszardr commutativereducedfilialrings AT sobolewskamagdalena commutativereducedfilialrings |
| first_indexed |
2025-12-02T15:37:19Z |
| last_indexed |
2025-12-02T15:37:19Z |
| _version_ |
1850411413311324160 |