1. HYPERIDEALS IN M-POLYSYMMETRICAL HYPERRINGS

M. A. Madani; S. Mirvakili; B. Davvaz

Volume 7, Issue 1 , Summer and Autumn 2019, , Pages 33-50

Abstract
  An M-polysymmetrical hyperring $(R,+,\cdot )$ is an algebraic system, where $(R,+)$ is an M-polysymmetrical hypergroup, $(R,\cdot )$ is a semigroup and $\cdot$ is bilaterally distributive over $+$. In this paper, we introduce the concept of hyperideals of an M-polysymmetrical hyperring and by using this ...  Read More

2. IDEALS IN EL-SEMIHYPERGROUPS ASSOCIATED TO ORDERED SEMIGROUPS

S. H. Ghazavi; S. M. Anvariyeh; S. Mirvakili

Volume 3, Issue 2 , Winter and Spring 2016, , Pages 109-125

Abstract
  In this paper, we attempt to investigate the connection between various types of ideals (for examples $(m, n)$-ideal, bi-ideal, interior ideal, quasi ideal, prime ideal and maximal ideal) of an ordered semigroup $(S,cdot ,leq)$ and the correspond hyperideals of its EL-hyperstructure $(S,*)$ (if exists). ...  Read More