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ЖУРНАЛЫ // Algebra and Discrete Mathematics // Архив

Algebra Discrete Math., 2020, том 29, выпуск 2, страницы 221–240 (Mi adm754)

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.

MSC: Primary 13A15; Secondary 13E05, 13F05

Поступила в редакцию: 10.06.2017

Язык публикации: английский

DOI: 10.12958/adm476



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