This paper generalizes the idea of strongly associative hyperoperation introduced in [7] 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.
Arabpur, F. and Jafarpour, M. (2019). ON STRONGLY ASSOCIATIVE HYPERRINGS. Journal of Algebraic Systems, 6(2), 117-130. doi: 10.22044/jas.2018.5951.1298
MLA
Arabpur, F. , and Jafarpour, M. . "ON STRONGLY ASSOCIATIVE HYPERRINGS", Journal of Algebraic Systems, 6, 2, 2019, 117-130. doi: 10.22044/jas.2018.5951.1298
HARVARD
Arabpur, F., Jafarpour, M. (2019). 'ON STRONGLY ASSOCIATIVE HYPERRINGS', Journal of Algebraic Systems, 6(2), pp. 117-130. doi: 10.22044/jas.2018.5951.1298
CHICAGO
F. Arabpur and M. Jafarpour, "ON STRONGLY ASSOCIATIVE HYPERRINGS," Journal of Algebraic Systems, 6 2 (2019): 117-130, doi: 10.22044/jas.2018.5951.1298
VANCOUVER
Arabpur, F., Jafarpour, M. ON STRONGLY ASSOCIATIVE HYPERRINGS. Journal of Algebraic Systems, 2019; 6(2): 117-130. doi: 10.22044/jas.2018.5951.1298