@article { author = {Arabpur, Fatemeh and Jafarpour, Morteza}, title = {ON STRONGLY ASSOCIATIVE HYPERRINGS}, journal = {Journal of Algebraic Systems}, volume = {6}, number = {2}, pages = {117-130}, year = {2019}, publisher = {Shahrood University of Technology}, issn = {2345-5128}, eissn = {2345-511X}, doi = {10.22044/jas.2018.5951.1298}, abstract = {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.}, keywords = {‌Strongly associative hyperoperation‌,‌SDIS hyperring‌,‌Krasner hyperring‌,‌totally hyperring‌,‌hyperring of series‌}, url = {https://jas.shahroodut.ac.ir/article_1362.html}, eprint = {https://jas.shahroodut.ac.ir/article_1362_b14cfdd7b20dd1bac81140e24c087680.pdf} }