Distributive and Dual Distributive Elements in Hyperlattices-Reference-Cited by-同舟云学术

Distributive and Dual Distributive Elements in Hyperlattices

Published:2017-12-20 Issue:3 Volume:25 Page:25-36
ISSN:1844-0835
Container-title:Analele Universitatii "Ovidius" Constanta - Seria Matematica
language:en
Short-container-title:

Author:

Ameri Reza¹,Amiri-Bideshki M.²,Hoskova-Mayerova Sarka³,Saeid A. B.⁴

Affiliation:

1. Department of Mathematics, Tehran University, Tehran , Iran

2. Payame-Noor University, Tehran, Tehran , Iran

3. Department of Mathematics and Physics, University of Defence, Kounicova 65, Brno , Czech Republic

4. Dept. of Pure Mathematics, Faculty of Mathematics and Computer Shahid Bahonar University of Kerman Kerman , Iran

Abstract

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.

Publisher

Walter de Gruyter GmbH

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