What is it about?
This article describes the SDGMA (Solvable Differential Graded R-Modules Algorithms) package, a GAP package to construct a classification for some types of differential graded R-modules. This classification gives a partial algorithm to test whether such modules are solvable. For modules outside the classification we cannot decide, using our methods, whether or not they are solvable. This classification depends on two basic factors; the dimension D of the module and the degree of the differential on the module P. These two factors the input for the main function SolvableModule in our algorithm. In addition, if the module is solvable then the package gives the proof that it is solvable
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Why is it important?
My GAP package (SDGMA) constructs a classification for some types of differential graded R-modules. Thus, it will help us to test whether such modules are solvable. In addition, if the module is solvable then the package gives the proof that it is solvable
Perspectives
Writing this article was a great pleasure since I have used a GAP system to constrict SDGMA (Solvable Differential Graded R-Modules Algorithms) package. So, the researchers work in the area of Group theory and Algebraic Topology can use this software in their work.
Dr. Abdulsatar AL-Juburie
University of Diyala
Read the Original
This page is a summary of: Solvable differential graded R-modules algorithms (SDGMA), January 2023, American Institute of Physics,
DOI: 10.1063/5.0103399.
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