Gursoy, M.H.Icen, I.Ozcan, A.F.2019-09-182019-09-182016Gursoy, M.H. Icen, I. Ozcan, A.F. (2016). Coverings and actions of structured Lie groupoids. Cilt:2. Sayı:F2. 661-679 ss.https://hdl.handle.net/11616/14119In this work we deal with coverings and actions of Lie group-groupoids and Lie ring-groupoids being two sorts of the structured Lie groupoids. After we give definition of a structured Lie groupoid, we prove some characterizations of structured Lie groupoids. Then, we present the concept of covering of a structured Lie groupoid. As first main result of this work, we show that the category LSCov(M) of the smooth coverings of Lie group M is equivalent to the category SLGCov(π1M) of the coverings of structured Lie groupoid π1M, where it is assumed that π1M is a Lie group-groupoid, specially. Furthermore, we define an action of a structured Lie groupoid on a connected Lie structure. Finally, we show that the category SLGCov(G) of the coverings of a structured Lie groupoid G and the category SLGOp(G) of the actions of G on Lie structures (group or ring) are equivalent. © 2016, Universitatii Al.I.Cuza din Iasi. All rights reserved.eninfo:eu-repo/semantics/restrictedAccessActionCoveringLie groupoidArticle2F2661679