Crossed modules of hypergroups associated with generalized actions

Küçük Resim Yok

Tarih

2016

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

Künye