2-nil ideals of commutative rings
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CitationYetkin-Çelikel, E. (2021). 2-nil ideals of commutative rings. Bulletin of the Belgian Mathematical Society - Simon Stevin: Cilt, 28, s. 295-304.
The concept of 2-nil ideal of a commutative ring R is introduced, as an alternative to the (2, n)-ideals from . 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. © 2021 Belgian Mathematical Society. All rights reserved.
SourceBulletin of the Belgian Mathematical Society - Simon Stevin
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