Geodesic
Actions of R-module groupoids
Filomat, Tome 37 (2023) no. 13, p. 4239

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DOI

Let R be a ring, 1 R 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(Ω) of actions of Ω on R-modules. We also find that there is a groupoid Ω ▷◁ N on N. Ω ▷◁ N is called action R-module groupoid. Finally, we prove that the category RMGpdOp(Ω) of actions of R-module groupoids is equivalent to RMGpdCov(Ω) of coverings of R-module groupoids.
DOI : 10.2298/FIL2313239O
Classification : 22A05, 13A50, 57M10
Keywords: ℜ-module groupoid, action of groupoid 
Abdullah Fatih Özcan; Ílhan Içen. Actions of R-module groupoids. Filomat, Tome 37 (2023) no. 13, p. 4239 . doi: 10.2298/FIL2313239O
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     title = {Actions of {R-module} groupoids},
     journal = {Filomat},
     pages = {4239 },
     year = {2023},
     volume = {37},
     number = {13},
     doi = {10.2298/FIL2313239O},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2313239O/}
}
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