Abstract
The concept of 2-nil ideal of a commutative ring $R$ is introduced, as an alternative to the $(2,n)$-ideals from [6]. We study its relationship with previously introduced classes of ideals, such as 2-absorbing ideals and $n$-ideals. Various properties and examples are presented. Our main result is a characterization of rings for which every 2-nil ideal is prime. We give a description of 2-nil ideals of general ZPI-rings.
Citation
Ece Yetkin Celikel. "2-nil ideals of commutative rings." Bull. Belg. Math. Soc. Simon Stevin 28 (2) 295 - 304, december 2021. https://doi.org/10.36045/j.bbms.201031
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