Uniformly 2-absorbing primary ideals of commutative rings

H. Mostafanasab, Ü. Tekir, G. Ulucak

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

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DOI: http://dx.doi.org/10.12958/adm476

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