Bekele, Berhanu (PhD)Tsegaberhan, Heanok2018-07-162023-11-042018-07-162023-11-042016-01http://etd.aau.edu.et/handle/123456789/8781From an algebraic point of view, semirings provide the most natural gener- alizations of the theory of rings. In this paper, the ring theoretic results of concerning the primary ideals and their radicals to noncommutative semir- ings are generalized. The derived results are further carried over to a Gel'fand semiring.enPrimary Ideals in NoncommutativeThesis