Jordan-Dedekind condition in hyperlattices. Issue 4 (19th May 2018)

• Record Type: Journal Article
• Authors: Bideshki, Mohsen Amiri; Saeid, Arsham Borumand
• Is Part Of: Journal of information & optimization sciences. Volume 39:Issue 4(2018)
• Page Start: 813
• Page End: 825
• Publication Date: 2018-05-19
• Subjects: [2010] 06F35 -- 03G25; Jordan-Dedekind Condition (Modular, Distributive) Hyperlattice -- Maximal Chain; Electronic data processing -- Periodicals; Information science -- Periodicals; Mathematical optimization -- Periodicals; 519.6
• DOI: 10.1080/02522667.2016.1228315
• Languages: English
• ISSNs: 0252-2667

Abstract

Abstract: 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.