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RESEARCH ARTICLE
Uniformly $2$-absorbing primary ideals of commutative rings
H. Mostafanasaba, Ü. Tekirb, G. Ulucakc a Department of Mathematics and Applications, University of Mohaghegh Ardabili, P.O. Box 179, Ardabil, Iran
b Department of Mathematics, Faculty of Science and Arts, Marmara University 34722, Istanbul, Turkey
c Department of Mathematics, Gebze Technical University, P. K. 14141400 Gebze, Kocaeli, Turkey
Аннотация:
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".
Ключевые слова:
uniformly $2$-absorbing primary ideal, Noether strongly $2$-absorbing primary ideal, $2$-absorbing primary ideal.
Поступила в редакцию: 10.06.2017
Образец цитирования:
H. Mostafanasab, Ü. Tekir, G. Ulucak, “Uniformly $2$-absorbing primary ideals of commutative rings”, Algebra Discrete Math., 29:2 (2020), 221–240
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/adm754 https://www.mathnet.ru/rus/adm/v29/i2/p221
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