Prime filters of hyperlattices

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

doi:10.1515/auom-2016-0025

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica (Jun 2016)

Prime filters of hyperlattices

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

Affiliations

Ameri Reza: Department of Mathematics, Tehran University, Tehran, Iran
Amiri-Bideshki M.: Department of Mathematics, Payame-Noor University, Tehran, Tehran, Iran
Saeid Arsham Borumand: Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
Hoskova-Mayerova Sarka: Department of Mathematics and Physics, University of Defence, Kounicova 65, Brno, Czech Republic

DOI: https://doi.org/10.1515/auom-2016-0025
Journal volume & issue: Vol. 24, no. 2
pp. 15 – 26

Abstract

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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.

Published in Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica

ISSN: 1224-1784 (Print); 1844-0835 (Online)
Publisher: Sciendo
Country of publisher: Poland
LCC subjects: Science: Mathematics
Website: https://sciendo.com/journal/AUOM

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