Crossed modules of hypergroups associated with generalized actions
Küçük Resim Yok
Tarih
2016
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
HACETTEPE UNIV, FAC SCI
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this article, by using the notion of generalized action, we introduce the concept of crossed module of hypergroups, in the sense of Marty, and its related structures from the light of crossed polymodules. Hyper-groups in the sense of Marty are more different than polygroups since they have not identity element or inverse element in general. Examples of crossed modules of hypergroups are originally presented. These examples illustrate the structure and behavior of crossed modules of hypergroups. Moreover, we obtain a crossed module in the sense of Whitehead from a crossed module of hypergroups by applying the notion of fundamental relation.
Açıklama
Anahtar Kelimeler
action, crossed module, hypergroup, fundamental relation
Kaynak
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
WoS Q Değeri
Q4
Scopus Q Değeri
Q3
Cilt
45
Sayı
3