Affiliation:
1. Department of Mathematics, İnönü University Malatya, Turkey
Abstract
Let R be a ring, 1R be the identity of ring R and N be an R-module on R. In
this work, we are going to give a new definition that it is called an action
of R-module groupoids. First, we are going to give the definition of the
action of the R-module groupoids on the R-module N. Then we obtained a new
category RMGpdOp(?) of actions of ? on R-modules. We also find that there is
a groupoid ? ?? N on N. ? ?? N is called action R-module groupoid. Finally,
we prove that the category RMGpdOp(?) of actions of R-module groupoids is
equivalent to RMGpdCov(?) of coverings of R-module groupoids.
Publisher
National Library of Serbia
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