Actions of R-module groupoids
Küçük Resim Yok
Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Nis, Fac Sci Math
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
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(Omega) of actions of Omega on R-modules. We also find that there is a groupoid Omega (sic) N on N. Omega (sic) N is called action R-module groupoid. Finally, we prove that the category RMGpdOp(Omega) of actions of R-module groupoids is equivalent to RMGpdCov(Omega) of coverings of R-module groupoids.
Açıklama
Anahtar Kelimeler
R-module groupoid, action of groupoid
Kaynak
Filomat
WoS Q Değeri
Q2
Scopus Q Değeri
Q3
Cilt
37
Sayı
13
