actions of vector groupoids
نویسندگان
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.
منابع مشابه
Actions of vector groupoids
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...
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عنوان ژورنال:
bulletin of the iranian mathematical societyناشر: iranian mathematical society (ims)
ISSN 1017-060X
دوره 40
شماره 3 2014
کلمات کلیدی
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