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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Бібліографічні деталі
Дата:2020
Автори: Mostafanasab, H., Tekir, Ü., Ulucak, G.
Формат: Стаття
Мова:English
Опубліковано: Lugansk National Taras Shevchenko University 2020
Теми:
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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Algebra and Discrete Mathematics
id oai:ojs.admjournal.luguniv.edu.ua:article-476
record_format ojs
spelling 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
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AT tekiru uniformly2absorbingprimaryidealsofcommutativerings
AT ulucakg uniformly2absorbingprimaryidealsofcommutativerings
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