Regular Multiplicative Hyperrings
Keywords:
multiplicative hyperring, regular hyperring, fundamental relation, hyperidealregular element, idempotentAbstract
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.
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2016-10-30
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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