<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

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{"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

Publicado en línea: 21 sept 2017

Páginas: 15 - 26

Recibido: 07 may 2015

Aceptado: 30 jun 2015

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

Palabras clave
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

Publicado en línea: 21 sept 2017

Páginas: 15 - 26

Recibido: 07 may 2015

Aceptado: 30 jun 2015

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

Palabras claveHyperlattice, 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.

Palabras clave
Hyperlattice, Prime ideal, Prime filter, Distributive element, Dual distributive element, Homomorphism