Abstract

The purpose of this paper is to study some properties of modular hyperlattices. We state and prove some propositions (theorems) of [2] with a stronger condition(modularity) than distributivity. We prove that if hyperlattice L with bottom element 0 is modular, then 0 ∨ 0 =0 and there exists no element in x ∨ x greater than x. Also, we study pentagonal hyperlattice that is non-modular. Finally, some results of fundamental relation are given.

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