Abstract
In this paper we prove that under certain conditions, the idempotent elements of a hyperring form a hyperlattice and the orthogonal idempotnet elements form a quasi-distributive hyperboolean algebra.
Publisher
Tamkang Journal of Mathematics
Subject
Applied Mathematics,General Mathematics
Cited by
4 articles.
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1. Fundamentals of derivations on (ordered) hyper(near)-rings;Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry;2018-12-04
2. Operations on hyperideals in ordered Krasner hyperrings;Analele Universitatii "Ovidius" Constanta - Seria Matematica;2016-11-01
3. Complete join hyperlattices;Indian Journal of Pure and Applied Mathematics;2015-05-04
4. Note on Isomorphism Theorems of Hyperrings;International Journal of Mathematics and Mathematical Sciences;2010