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Algebra and Discrete Mathematics, 2020, Volume 29, Issue 2, Pages 221–240
DOI: https://doi.org/10.12958/adm476 (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
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DOI: https://doi.org/10.12958/adm476
Abstract: 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".
Keywords: uniformly $2$-absorbing primary ideal, Noether strongly $2$-absorbing primary ideal, $2$-absorbing primary ideal.
Received: 10.06.2017
Bibliographic databases:
Document Type: Article
MSC: Primary 13A15; Secondary 13E05, 13F05
Language: English
Citation: H. Mostafanasab, Ü. Tekir, G. Ulucak, “Uniformly $2$-absorbing primary ideals of commutative rings”, Algebra Discrete Math., 29:2 (2020), 221–240
Citation in format AMSBIB
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\by H.~Mostafanasab, \"U.~Tekir, G.~Ulucak
\paper Uniformly $2$-absorbing primary ideals of commutative rings
\jour Algebra Discrete Math.
\yr 2020
\vol 29
\issue 2
\pages 221--240
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\crossref{https://doi.org/10.12958/adm476}
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