Document Type : Original Manuscript
Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.
This paper generalizes the idea of strongly associative hyperoperation introduced in  to the class of hyperrings. We introduce and investigate hyperrings of type 1, type 2 and SDIS. Moreover, we study some examples of these hyperrings and give a new kind of hyperrings called totally hyperrings. Totally hyperrings give us a characterization of Krasner hyperrings. Also, we investigate these strongly hyperoperations in hyperring of series.