Regular Multiplicative Hyperrings

Authors

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

Keywords:

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

Abstract

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
    Mathematics, Professor
  • Ali Kordi, University of Tehran
    Department of Mathematics, First Rank
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Published

2016-10-30

Issue

Vol. 9 No. 4: (October 2016)

Section

Algebra

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How to Cite

Regular Multiplicative Hyperrings. (2016). European Journal of Pure and Applied Mathematics, 9(4), 402-418. https://www.ejpam.com/index.php/ejpam/article/view/2553