BİR HİPERGRUBUN ALTHİPERGRUPLARININ KAFESİ

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.

Anahtar Kelimeler:

hipergrup, althipergrup, kafes, dağılmalı kafes

THE LATTICE OF SUBHYPERGROUPS OF A HYPERGROUP

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,

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