<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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. </p></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.

Prime filters of hyperlattices

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Prime filters of hyperlattices"}

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,...

Prime filters of hyperlattices

Publié en ligne: 21 sept. 2017

Pages: 15 - 26

Reçu: 07 mai 2015

Accepté: 30 juin 2015

DOI: https://doi.org/10.1515/auom-2016-0025

Mots clés
Hyperlattice, Prime ideal, Prime filter, Distributive element, Dual distributive element, Homomorphism

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Prime filters of hyperlattices

Publié en ligne: 21 sept. 2017

Pages: 15 - 26

Reçu: 07 mai 2015

Accepté: 30 juin 2015

DOI: https://doi.org/10.1515/auom-2016-0025

Mots clésHyperlattice, Prime ideal, Prime filter, Distributive element, Dual distributive element, Homomorphism

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Mots clés
Hyperlattice, Prime ideal, Prime filter, Distributive element, Dual distributive element, Homomorphism