ACTIONS OF VECTOR GROUPOIDS
Küçük Resim Yok
Tarih
2014
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Iranian Mathematical Soc
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.
Açıklama
Anahtar Kelimeler
Groupoid, action, crossed module, vector groupoid
Kaynak
Bulletin of The Iranian Mathematical Society
WoS Q Değeri
Q4
Scopus Q Değeri
Cilt
40
Sayı
3
