Distributive and Dual Distributive Elements in Hyperlattices
Abstract
In this paper we introduce and study distributive elements, dual distributive elements in hyperlattices, and prove that these elements forms ∧-semi lattice and ∨-semi hyperlattice, respectively. We use the properties of prime ideals and prime filters in hyperlattices. We will proceed to introduce the notion of dual distributive hyperlattices, I-filters and filters generated by dual distributive elements. Finally, the relationship between good homomorphisms and istributive (resp. dual distributive)elements in hyperlattices are investigated.
© 2018 Reza Ameri, M. Amiri-Bideshki, Sarka Hoskova-Mayerova, A. B. Saeid, published by Ovidius University of Constanta
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