Prime filters of hyperlattices

被引：23

作者：

Ameri, R. ^{[1
]}

Amiri-Bideshki, M. ^{[2
]}

Saeid, A. B. ^{[3
]}

Hoskova-Mayerova, S. ^{[4
]}

机构：

[1] Univ Tehran, Dept Math, Tehran, Iran

[2] Payame Noor Univ, Dept Math, Tehran, Iran

[3] Shahid Bahonar Univ Kerman, Fac Math & Comp, Dept Pure Math, Kerman, Iran

[4] Univ Def, Dept Math & Phys, Kounicova 65, Brno, Czech Republic

来源：

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA | 2016年 / 24卷 / 02期

关键词：

Hyperlattice; Prime ideal; Prime filter; Distributive element; Dual distributive element; Homomorphism; HYPERSTRUCTURES; HYPERGROUPOIDS;

D O I：

10.1515/auom-2016-0025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is the study of prime ideals and prime filters in hyperlattices. I-filter and the filter generated by a is an element of L are introduced. Moreover, we introduce dual distributive hyperlattices, and I-filter in dual distributive hyperlattices. Some properties of hyperlattices are studied and the relationship between prime ideals and prime filters in hyperlattices is discussed.

引用

页码：15 / 26

页数：12

共 24 条

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[2]

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[3]

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[4]

[Anonymous], APLIMAT 2015 14 C AP

[5]

Birkhoff G., 1940, Lattice Theory

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ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2014, 22 (01) :85-103

[7]

Chvalina J, 2013, AN STI U OVID CO-MAT, V21, P59

[8]

Corsini P., 2003, Advances in Mathematics

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Cristea I, 2009, IRAN J FUZZY SYST, V6, P11

[10] Regularity of intuitionistic fuzzy relations on hypergroupoids [J].

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ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2014, 22 (01) :105-119

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