ACTIONS OF VECTOR GROUPOIDS


Gursoy M. H.

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, cilt.40, ss.565-583, 2014 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 40 Konu: 3
  • Basım Tarihi: 2014
  • Dergi Adı: BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY
  • Sayfa Sayıları: ss.565-583

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.