TY - JOUR
ID - 516
TI - Actions of vector groupoids
JO - Bulletin of the Iranian Mathematical Society
JA - BIMS
LA - en
SN - 1017-060X
AU - Gursoy, Mustafa Habil
AD - Inonu University, Science and Art Faculty, Department of Mathematics
Y1 - 2014
PY - 2014
VL - 40
IS - 3
SP - 565
EP - 583
KW - Groupoid
KW - action
KW - crossed module
KW - vector groupoids
DO -
N2 - 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 $mathcal{VG}$ of the vector groupoids is equivalent to the category $mathcal{CM}odmathcal{VG}$ of the crossed modules over a vector groupoid.
UR - http://bims.iranjournals.ir/article_516.html
L1 - http://bims.iranjournals.ir/article_516_a061a08b4f697cdd15e357519ec9d8fc.pdf
ER -