Jordan-Dedekind condition in hyperlattices
Mohsen Amiri Bideshki, Arsham Borumand Saeid · Journal of Information and Optimization Sciences · 2018
This paper aimed to study distributivity and Jordan-Dedekind condition in hyperlattices. Hyperlattice L satisfies the Jordan-Dedekind condition if all maximal chains between the same end points have the same (finite) length. In finite modular hyperlattices, the Jordan-Dedekind condition was shown to be held. Finally, some results related to distributive hyperlattices were presented.