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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Дата: | 2020 |
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Автори: | , , |
Формат: | Стаття |
Мова: | English |
Опубліковано: |
Lugansk National Taras Shevchenko University
2020
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Онлайн доступ: | 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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oai:ojs.admjournal.luguniv.edu.ua: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 |
institution |
Algebra and Discrete Mathematics |
collection |
OJS |
language |
English |
topic |
uniformly 2-absorbing primary ideal Noether strongly 2-absorbing primary ideal 2-absorbing primary ideal Primary 13A15; Secondary 13E05 13F05 |
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 |
topic_facet |
uniformly 2-absorbing primary ideal Noether strongly 2-absorbing primary ideal 2-absorbing primary ideal Primary 13A15; Secondary 13E05 13F05 |
format |
Article |
author |
Mostafanasab, H. Tekir, Ü. Ulucak, G. |
author_facet |
Mostafanasab, H. Tekir, Ü. Ulucak, G. |
author_sort |
Mostafanasab, H. |
title |
Uniformly 2-absorbing primary ideals of commutative rings |
title_short |
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_sort |
uniformly 2-absorbing primary ideals of commutative rings |
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'. |
publisher |
Lugansk National Taras Shevchenko University |
publishDate |
2020 |
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 |
first_indexed |
2024-04-12T06:26:33Z |
last_indexed |
2024-04-12T06:26:33Z |
_version_ |
1796109220041457664 |