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.
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JAYARAM, C., & JOHNSON, E. W. (1995). ALMOST PRINCIPAL ELEMENT LATTICES. International Journal of Mathematics and Mathematical Sciences, 1995(), 535-538. https://doi.org/10.1155/S0161171295000676
Vlad, C. (2011). Topological Aspects of the Product of Lattices. International Journal of Mathematics and Mathematical Sciences, 2011(), 590-598-138. https://doi.org/10.1155/2011/920737