actions of vector groupoids

نویسندگان

mustafa habil gursoy

چکیده

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.

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عنوان ژورنال:
bulletin of the iranian mathematical society

ناشر: iranian mathematical society (ims)

ISSN 1017-060X

دوره 40

شماره 3 2014

میزبانی شده توسط پلتفرم ابری doprax.com

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