Actions of vector groupoids

Küçük Resim Yok

Tarih

2014

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Iranian Mathematical Society

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In this work we deal with actions of vector groupoid which is a new concept in the literature. After we give the definition of the action of a vector groupoid on a vector space, we obtain some results related to actions of vector groupoids. We also apply some characterizations of the category and groupoid theory to vector groupoids. As the second part of the work, we define the notion of a crossed module over a vector groupoid. Finally, we show that the category VG of the vector groupoids is equivalent to the category CModVG of the crossed modules over a vector groupoid. © 2014 Iranian Mathematical Society.

Açıklama

Anahtar Kelimeler

Action, Crossed module, Groupoid, Vector groupoids

Kaynak

Bulletin of the Iranian Mathematical Society

WoS Q Değeri

Scopus Q Değeri

Q3

Cilt

40

Sayı

3

Künye