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Shareholders' Equity and Share-Based Payments (Details) - USD ($)
3 Months Ended
Dec. 31, 2021
Dec. 31, 2020
Sep. 30, 2021
Aug. 27, 2020
Share-Based compensation        
Common stock, shares authorized 75,000,000   75,000,000  
Preferred stock, shares authorized 10,000,000   10,000,000  
Share-based compensation expense $ 45,591 $ 45,591    
2019 Plan        
Share-Based compensation        
Common stock, shares authorized 139,691      
Share-based compensation expense $ 45,591 45,591    
Number of share-based compensation plans maintained by the company 689,147      
Number of shares of common stock reserved for awards 750,000      
Unrecognized compensation cost, related to non-vested stock options $ 118,422      
2019 Plan | Employee        
Share-Based compensation        
Share-based compensation expense $ 45,591 45,591    
Number of shares of common stock reserved for awards 300,000      
2019 Plan | Chief Financial Officer        
Share-Based compensation        
Number of shares of common stock available for awards under the plan       100,000
2019 Plan | Non Employee Director        
Share-Based compensation        
Share-based compensation expense $ 0 $ 0