Regular Multiplicative Hyperrings


  • Reza Ameri University of Tehran
  • Ali Kordi University of Tehran


multiplicative hyperring, regular hyperring, fundamental relation, hyperidealregular element, idempotent


We introduce and study regular multiplicative hyperrings, as a generalization of classical rings. Also, we use the fundamental relation ?
on a given regular multiplicative hyperring R and prove that the fundamental ring R=R/? of R is a regular ring.
Finally, we investigate the algebraic properties of M(R), the regular hyperideal of R, generated by all elements of R such that its generated hyperideals is regular.

Author Biographies

Reza Ameri, University of Tehran

Ali Kordi, University of Tehran



How to Cite

Ameri, R., & Kordi, A. (2016). Regular Multiplicative Hyperrings. European Journal of Pure and Applied Mathematics, 9(4), 402–418. Retrieved from