Prime filters of hyperlattices-Reference-Cited by-同舟云学术

Prime filters of hyperlattices

Published:2016-06-01 Issue:2 Volume:24 Page:15-26
ISSN:1844-0835
Container-title:Analele Universitatii "Ovidius" Constanta - Seria Matematica
language:en
Short-container-title:

Author:

Ameri Reza¹,Amiri-Bideshki M.²,Saeid Arsham Borumand³,Hoskova-Mayerova Sarka⁴

Affiliation:

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

2. Department of Mathematics, Payame-Noor University, Tehran, Tehran , Iran

3. Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman , Iran

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

Abstract

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.

Publisher

Walter de Gruyter GmbH

Reference24 articles.

1. [1] R. AMERI and S. HOSKOVA-MAYEROVA, Fuzzy Continuous Poly- groups, APLIMAT 2016 - 15th Conference on Applied Mathematics, Pro- ceedings. Slovak University of Technology in Bratislava, (2016), 13-19.

2. [2] R. AMERI, T. NOZARI, A Connection Between Categories of Multial- gebras and Algebra, Ital. J. Pure Appl. Math., 27(2010), 201-208.

3. [3] R. AMERI, I. G. ROSENBERG, Congruences of Multialgebras, J. Mult.- Valued Logic Soft Comput., 10(2009), 1-12.

4. [4] G. BIRKHOFF, Lattice Theory, American Mathematical Society Collogu- ium Publications [M], Providence, Rhode Island, 1940.

5. [5] J. CHVALINA, S. HOSKOVA-MAYEROVA, A. DEGHAN NEZHAD, General actions of hypergroups and some applications, An. Stiint. Univ. “Ovidius” Constanta Ser. Mat., 21(1), (2013), 59-82.

Cited by 21 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Construction of Zero-Divisor Graph of a Hyperlattice with Respect to Hyperideals;IRAN J MATH CHEM;2024

2. RETRACTED: On modularity of hyperlattices;Journal of Intelligent & Fuzzy Systems;2024-04-18

3. Radical of filters on equality algebra;Journal of Intelligent & Fuzzy Systems;2021-12-16

4. Hypercongruences in fuzzy AG-hypergroupoids;Journal of Intelligent & Fuzzy Systems;2020-10-07

5. Ordering based on uni-nullnorms;Journal of Intelligent & Fuzzy Systems;2020-07-17