BİR HİPERGRUBUN ALTHİPERGRUPLARININ KAFESİ

Year 2019, Volume: 7 Issue: 2, 159 - 165, 23.08.2019

Dilek Bayrak

https://doi.org/10.20290/estubtdb.507321

Abstract

Tarnauceanu [On the poset of
subhypergroups of a hypergroup, Int. J. Open Problems Comp. Math. 3(2) (2010)
505-508] çalışmasında bir hipergrubun althipergruplarının kısmen sıralı kümesi
hakkında bazı açık problemler verdi. Biz bu çalışmada, bir hipergrubun althipergruplarının
bazı özel altposetllerinin modüler veya dağılmalı kafes olduğu elde ettik.

Keywords

hipergrup, althipergrup, kafes, dağılmalı kafes

THE LATTICE OF SUBHYPERGROUPS OF A HYPERGROUP

Abstract

Tarnauceanu [On the poset of
subhypergroups of a hypergroup, Int. J. Open Problems Comp. Math. 3(2) (2010)
505-508] gave some open problems concerning to the set of subhypergroups of a
hypergroup, partially ordered by set inclusion. In this study, we obtain that
some certain subposets of subhypergroups of a hypergroup are modular or
distributive lattice.

Keywords

hypergroup, subhypergroup, lattice, distributive lattice

References

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