Prime filters of hyperlattices
R. Ameri, M. Amiri-Bideshki, Arsham Borumand Saeid, Šárka Hošková-Mayerová · Analele Universităţii "Ovidius" Constanţa. Seria Matematică · 2016
Abstract The purpose of this paper is the study of prime ideals and prime filters in hyperlattices. I-filter and the filter generated by a ∈ L are introduced. Moreover, we introduce dual distributive hyperlattices, and I-filter in dual distributive hyperlattices. Some properties of hyperlat- tices are studied and the relationship between prime ideals and prime filters in hyperlattices is discussed.