Formal local homology
Tom 163 / 2021
                    
                    
                        Colloquium Mathematicum 163 (2021), 267-284                    
                                        
                        MSC: 13D45, 13J99.                    
                                        
                        DOI: 10.4064/cm7863-11-2019                    
                                            
                            Opublikowany online: 23 July 2020                        
                                    
                                                Streszczenie
We introduce a concept of formal local homology modules which is in some sense dual to P. Schenzel’s concept of formal local cohomology modules. The duality theorem and the non-vanishing theorem for formal local homology modules are shown. We also give some conditions for formal local homology modules to be finitely generated or artinian.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            