Prime filters of hyperlattices

Ameri, Reza; Amiri-Bideshki, M.; Saeid, Arsham Borumand; Hoskova-Mayerova, Sarka

doi:10.1515/auom-2016-0025

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.

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Prime filters of hyperlattices

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