1. ON STRONGLY ASSOCIATIVE HYPERRINGS

Fatemeh Arabpur; Morteza Jafarpour

Volume 6, Issue 2 , Winter and Spring 2019, , Pages 117-130

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. ...  Read More

2. ASSOCIATED (SEMI)HYPERGROUPS FROM DUPLEXES

In this paper using strongly duplexes we introduce a new class of (semi)hypergroups. The associated (semi)hypergroup from a strongly duplex is called duplex (semi)hypergroup. Two computer programs written in MATLAB show that the two groups $Z_{2n}$ and $Z_{n}times Z_{2}$ produce a strongly duplex and ...  Read More