About this article
Published Online: Sep 21, 2017
Page range: 15 - 26
Received: May 07, 2015
Accepted: Jun 30, 2015
DOI: https://doi.org/10.1515/auom-2016-0025
Keywords
© 2017
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.
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.