Statements (13)
| Predicate | Object | 
|---|---|
| gptkbp:instanceOf | 
                                    
                                        
                                            gptkb:mathematical_concept
                                        
                                         | 
                            
| gptkbp:appliesTo | 
                                    
                                        
                                            
                                            local rings
                                        
                                        
                                         | 
                            
| gptkbp:concerns | 
                                    
                                        
                                            
                                            smoothness of algebraic varieties
                                        
                                        
                                         | 
                            
| gptkbp:field | 
                                    
                                        
                                            gptkb:algebraic_geometry
                                        
                                         | 
                            
| gptkbp:namedAfter | 
                                    
                                        
                                            gptkb:Oscar_Zariski
                                        
                                         gptkb:Joseph_Lipman  | 
                            
| gptkbp:publishedIn | 
                                    
                                        
                                            
                                            Mathematical literature
                                        
                                        
                                         | 
                            
| gptkbp:relatedTo | 
                                    
                                        
                                            
                                            regular local ring
                                        
                                        
                                         module of derivations  | 
                            
| gptkbp:state | 
                                    
                                        
                                            
                                            If the module of derivations of a local ring is free, then the ring is regular
                                        
                                        
                                         | 
                            
| gptkbp:bfsParent | 
                                    
                                        
                                            gptkb:Oscar_Zariski
                                        
                                         | 
                            
| gptkbp:bfsLayer | 
                                    
                                        
                                            
                                            6
                                        
                                        
                                         | 
                            
| https://www.w3.org/2000/01/rdf-schema#label | 
                                    
                                        
                                            
                                            Zariski–Lipman lemma
                                        
                                        
                                         |