@article{article_478565, title={Topolojik R-Modül Grupoid Örtüleri}, journal={Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi}, volume={23}, pages={272–276}, year={2019}, DOI={10.19113/sdufenbed.478565}, author={Alemdar, Nazmiye}, keywords={Group-groupoid,Covering groupoid,R-Module groupoid,Topological R-Module groupoid}, abstract={<span style="font-size:11pt;line-height:115%;font-family:Cambria, serif;">Bu makalede ilk olarak bir </span> <span style="font-size:11pt;line-height:115%;font-family:Cambria, serif;">topolojik </span> <i> <span style="font-size:11pt;line-height:115%;font-family:Cambria, serif;">R </span> </i> <span style="font-size:11pt;line-height:115%;font-family:Cambria, serif;">-modül grupoid, </span> <span style="font-size:11pt;line-height:115%;font-family:Cambria, serif;">topolojik </span> <i> <span style="font-size:11pt;line-height:115%;font-family:Cambria, serif;">R </span> </i> <span style="font-size:11pt;line-height:115%;font-family:Cambria, serif;">-modüllerin kategorisinde
bir grupoid obje olarak tanımlandı. Daha sonra </span> <i> <span style="font-size:9pt;line-height:115%;font-family:Cambria, serif;">  </span> </i> <span style="font-size:11pt;line-height:115%;font-family:Calibri, sans-serif;"> </span> <i> <span style="font-size:11pt;line-height:115%;font-family:Cambria, serif;">, </span> </i> <span style="font-size:11pt;line-height:115%;font-family:Cambria, serif;"> birim elemanı </span> <span style="font-size:11pt;line-height:115%;font-family:Calibri, sans-serif;"> </span> <span style="font-size:11pt;line-height:115%;font-family:Cambria, serif;"> olan birimli bir diskre topolojik halka ve </span> <span style="font-size:11pt;line-height:115%;font-family:Calibri, sans-serif;"> </span> <span style="font-size:11pt;line-height:115%;font-family:Cambria, serif;">  </span> <span style="font-size:11pt;line-height:115%;font-family:Cambria, serif;">topolojik uzayı 
evrensel örtüye sahip olan bir topolojik </span> <span style="font-size:11pt;line-height:115%;font-family:Cambria, serif;"> </span> <span style="font-size:11pt;line-height:115%;font-family:Calibri, sans-serif;"> </span> <span style="font-size:11pt;line-height:115%;font-family:Cambria, serif;">-modül
olmak üzere </span> <span style="font-size:11pt;line-height:115%;font-family:Calibri, sans-serif;"> </span> <span style="font-size:11pt;line-height:115%;font-family:Cambria, serif;">  temel grupoidinin </span> <span style="font-size:11pt;line-height:115%;font-family:Cambria, serif;">bir
topolojik </span> <span style="font-size:11pt;line-height:115%;font-family:Cambria, serif;"> </span> <span style="font-size:11pt;line-height:115%;font-family:Calibri, sans-serif;"> </span> <span style="font-size:11pt;line-height:115%;font-family:Cambria, serif;">-modül
grupoid olduğu gösterildi. Son olarak da  </span> <span style="font-size:11pt;line-height:115%;font-family:Calibri, sans-serif;"> </span> <span style="font-size:11pt;line-height:115%;font-family:Cambria, serif;">  objeleri için <i>N </i>ve </span> <span style="font-size:11pt;line-height:115%;font-family:Calibri, sans-serif;"> </span> <span style="font-size:11pt;line-height:115%;font-family:Cambria, serif;"> birer evrensel örtüye sahip olacak şekilde </span> <span style="font-size:11pt;line-height:115%;font-family:Calibri, sans-serif;"> </span> <i> <span style="font-size:11pt;line-height:115%;font-family:Cambria, serif;">ModCov/N </span> </i> <span style="font-size:11pt;line-height:115%;font-family:Cambria, serif;">kategorisinin bir dolu alt
kategorisi <i>U </i> </span> <span style="font-size:11pt;line-height:115%;font-family:Calibri, sans-serif;"> </span> <i> <span style="font-size:11pt;line-height:115%;font-family:Cambria, serif;">ModCov/N </span> </i> <span style="font-size:11pt;line-height:115%;font-family:Cambria, serif;">ve <i>  </i> </span> <span style="font-size:11pt;line-height:115%;font-family:Calibri, sans-serif;"> </span> <span style="font-size:11pt;line-height:115%;font-family:Cambria, serif;">  objeleri için de <i>N </i>ve </span> <span style="font-size:11pt;line-height:115%;font-family:Calibri, sans-serif;"> </span> <span style="font-size:11pt;line-height:115%;font-family:Cambria, serif;">  birer evrensel  örtüye 
sahip  olacak  şekilde  </span> <span style="font-size:11pt;line-height:115%;font-family:Calibri, sans-serif;"> </span> <i> <span style="font-size:11pt;line-height:115%;font-family:Cambria, serif;">GdMCov/ </span> </i> <span style="font-size:11pt;line-height:115%;font-family:Calibri, sans-serif;"> </span> <i> <span style="font-size:11pt;line-height:115%;font-family:Cambria, serif;">  </span> </i> <span style="font-size:11pt;line-height:115%;font-family:Cambria, serif;">kategorisinin  bir  dolu alt kategorisi olan  </span> <span style="font-size:11pt;line-height:115%;font-family:Calibri, sans-serif;"> </span> <i> <span style="font-size:11pt;line-height:115%;font-family:Cambria, serif;">GdMCov/ </span> </i> <span style="font-size:11pt;line-height:115%;font-family:Calibri, sans-serif;"> </span> <i> <span style="font-size:11pt;line-height:115%;font-family:Cambria, serif;">  </span> </i> <span style="font-size:11pt;line-height:115%;font-family:Cambria, serif;">tanımlanıp, </span> <span style="font-size:11pt;line-height:115%;font-family:Calibri, sans-serif;"> </span> <span style="font-size:11pt;line-height:115%;font-family:Cambria, serif;">  ve  </span}, number={1}, publisher={Süleyman Demirel University}