This article describes the Solvable Differential Graded R-Modules
Algorithms (SDGMA) package, a GAP package to construct a classification for
some types of differential graded R-modules. Due to the great importance of
graduation of rings and modules, the study of this concept attracted wide
interest from mathematicians everywhere. We have constructed 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 are 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. For modules outside the classification, we cannot
decide, using our methods, whether or not they are solvable.
Author(s)
Details
Abdulsatar
J. AL-Juburie
College of Education for Pure Science, Diyala University, Iraq.
Please see the book here:- https://doi.org/10.9734/bpi/mcscd/v2/1228
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