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http://hdl.handle.net/20.500.11889/6924| 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. | URI: | http://hdl.handle.net/20.500.11889/6924 |
| Appears in Collections: | Fulltext Publications |
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| leena-accepted(1).pdf | 215.68 kB | Adobe PDF | View/Open |
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