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arXiv · 1806.09122

On some strongly regular relations on hyperrings

S. Sh. Mousavi
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Abstract

In this paper first by the fact that the relation $\alpha^*$ is the transitive closure of two its subrelations we introduce and analyze a binary relation $\lambda^*_e$ on a hyperring such that the derived ring is a unitary ring. Next we introduce and study the notion of $\lambda_e$-parts in a hyperring and we characterize $\lambda_e$-parts in a $\lambda_e$-strong hyperring $R$. Finally we introduce a new relation $\Lambda^*$ such that its derived ring be a unitary commutative ring.

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S. Sh. Mousavi. 2018-06-24. On some strongly regular relations on hyperrings. https://arxiv.org/abs/1806.09122

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