MORITA EQUIVALENCE FOR SEMIRINGS WITHOUT IDENTITY

Abstract

In this paper, we study the Morita theory for semirings with slu.  We characterize the equivalent functors between the subcategories of right semimodules over semirings with slu.  Also, we give an equivalent condition of the Morita context of semirings (not necessarily with slu) and study the corresponding results in semirings with slu settings.  Finally, we apply the results to semirings with identity.