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Crossed modules of hypergroups associated with generalized actions

Yıl 2016, Cilt: 45 Sayı: 3, 663 - 673, 01.06.2016

Öz

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. Hypergroups
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.

Kaynakça

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Yıl 2016, Cilt: 45 Sayı: 3, 663 - 673, 01.06.2016

Öz

Kaynakça

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Toplam 1 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Matematik
Yazarlar

Murat Alp Bu kişi benim

Bijan Davvaz Bu kişi benim

Yayımlanma Tarihi 1 Haziran 2016
Yayımlandığı Sayı Yıl 2016 Cilt: 45 Sayı: 3

Kaynak Göster

APA Alp, M., & Davvaz, B. (2016). Crossed modules of hypergroups associated with generalized actions. Hacettepe Journal of Mathematics and Statistics, 45(3), 663-673.
AMA Alp M, Davvaz B. Crossed modules of hypergroups associated with generalized actions. Hacettepe Journal of Mathematics and Statistics. Haziran 2016;45(3):663-673.
Chicago Alp, Murat, ve Bijan Davvaz. “Crossed Modules of Hypergroups Associated With Generalized Actions”. Hacettepe Journal of Mathematics and Statistics 45, sy. 3 (Haziran 2016): 663-73.
EndNote Alp M, Davvaz B (01 Haziran 2016) Crossed modules of hypergroups associated with generalized actions. Hacettepe Journal of Mathematics and Statistics 45 3 663–673.
IEEE M. Alp ve B. Davvaz, “Crossed modules of hypergroups associated with generalized actions”, Hacettepe Journal of Mathematics and Statistics, c. 45, sy. 3, ss. 663–673, 2016.
ISNAD Alp, Murat - Davvaz, Bijan. “Crossed Modules of Hypergroups Associated With Generalized Actions”. Hacettepe Journal of Mathematics and Statistics 45/3 (Haziran 2016), 663-673.
JAMA Alp M, Davvaz B. Crossed modules of hypergroups associated with generalized actions. Hacettepe Journal of Mathematics and Statistics. 2016;45:663–673.
MLA Alp, Murat ve Bijan Davvaz. “Crossed Modules of Hypergroups Associated With Generalized Actions”. Hacettepe Journal of Mathematics and Statistics, c. 45, sy. 3, 2016, ss. 663-7.
Vancouver Alp M, Davvaz B. Crossed modules of hypergroups associated with generalized actions. Hacettepe Journal of Mathematics and Statistics. 2016;45(3):663-7.