DOI: 10.2298/fil2313239o ISSN: 0354-5180

Actions of R-module groupoids

Abdullah Özcan, İlhan İçen
  • General Mathematics

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.

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