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Title: On 2-absorbing ideals over semirings
Authors: Sawalmeh, Lina 
Saleh, Mohamad 
Keywords: Semirings (Mathematics);Ideals (Algebra);Subtractive ideals
Issue Date: 28-Oct-2021
Publisher: Journal of Algebra and its applications
Journal: Journal of Algebra and its applications 
Abstract: Let S be a commutative semiring with unity different than zero. In this paper, we study the concept of 2-absorbing ideal of S which can be considerd as a genralization of prime ideals. It is shown that the radical of 2-absorbing ideal is also 2-absorbing ideal and there are at most 2 prime k- ideals of S that are minimal over a 2- absorbing ideals.
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