Uniformly 2-absorbing primary ideals of commutative rings
In this study, we introduce the concept of `uniformly 2-absorbing primary ideals' of commutative rings, which imposes a certain boundedness condition on the usual notion of 2-absorbing primary ideals of commutative rings. Then we investigate some properties of uniformly 2-absorbing primary idea...
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| Datum: | 2020 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
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Lugansk National Taras Shevchenko University
2020
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/476 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543352885870592 |
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| author | Mostafanasab, H. Tekir, Ü. Ulucak, G. |
| author_facet | Mostafanasab, H. Tekir, Ü. Ulucak, G. |
| author_sort | Mostafanasab, H. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2020-07-08T07:13:20Z |
| description | In this study, we introduce the concept of `uniformly 2-absorbing primary ideals' of commutative rings, which imposes a certain boundedness condition on the usual notion of 2-absorbing primary ideals of commutative rings. Then we investigate some properties of uniformly 2-absorbing primary ideals of commutative rings with examples. Also, we investigate a specific kind of uniformly 2-absorbing primary ideals by the name of `special 2-absorbing primary ideals'. |
| first_indexed | 2026-02-08T07:57:57Z |
| format | Article |
| id | admjournalluguniveduua-article-476 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2026-02-08T07:57:57Z |
| publishDate | 2020 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-4762020-07-08T07:13:20Z Uniformly 2-absorbing primary ideals of commutative rings Mostafanasab, H. Tekir, Ü. Ulucak, G. uniformly 2-absorbing primary ideal, Noether strongly 2-absorbing primary ideal, 2-absorbing primary ideal Primary 13A15; Secondary 13E05, 13F05 In this study, we introduce the concept of `uniformly 2-absorbing primary ideals' of commutative rings, which imposes a certain boundedness condition on the usual notion of 2-absorbing primary ideals of commutative rings. Then we investigate some properties of uniformly 2-absorbing primary ideals of commutative rings with examples. Also, we investigate a specific kind of uniformly 2-absorbing primary ideals by the name of `special 2-absorbing primary ideals'. Lugansk National Taras Shevchenko University 2020-07-08 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/476 10.12958/adm476 Algebra and Discrete Mathematics; Vol 29, No 2 (2020) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/476/pdf Copyright (c) 2020 Algebra and Discrete Mathematics |
| spellingShingle | uniformly 2-absorbing primary ideal Noether strongly 2-absorbing primary ideal 2-absorbing primary ideal Primary 13A15; Secondary 13E05 13F05 Mostafanasab, H. Tekir, Ü. Ulucak, G. Uniformly 2-absorbing primary ideals of commutative rings |
| title | Uniformly 2-absorbing primary ideals of commutative rings |
| title_full | Uniformly 2-absorbing primary ideals of commutative rings |
| title_fullStr | Uniformly 2-absorbing primary ideals of commutative rings |
| title_full_unstemmed | Uniformly 2-absorbing primary ideals of commutative rings |
| title_short | Uniformly 2-absorbing primary ideals of commutative rings |
| title_sort | uniformly 2-absorbing primary ideals of commutative rings |
| topic | uniformly 2-absorbing primary ideal Noether strongly 2-absorbing primary ideal 2-absorbing primary ideal Primary 13A15; Secondary 13E05 13F05 |
| topic_facet | uniformly 2-absorbing primary ideal Noether strongly 2-absorbing primary ideal 2-absorbing primary ideal Primary 13A15; Secondary 13E05 13F05 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/476 |
| work_keys_str_mv | AT mostafanasabh uniformly2absorbingprimaryidealsofcommutativerings AT tekiru uniformly2absorbingprimaryidealsofcommutativerings AT ulucakg uniformly2absorbingprimaryidealsofcommutativerings |