Add the categories of graded modules and cochain complexes - #327
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This PR adds the category$\mathbf{grMod}_G(R)$ of $G$ -graded modules over a $G$ -graded ring $R$ , where $G$ is any monoid and $R$ is only assumed to be non-trivial. In this generality, two properties cannot be decided: (one-sorted) finitary algebraic and split abelian. However, they can be decided for three special cases, which are also added as separate entries to the database:
Two of these have been mentioned in the issue #14.
All three have the category of graded modules as a parent (a feature only recently introduced in #323), so all properties except for the two mentioned above are inherited directly. Each of the three child categories is neither (one-sorted) finitary algebraic nor split abelian.
Currently, the three categories are indistinguishable. But this is just because some properties are missing from the database. For example, I think that$\mathbf{Ab}^{\mathbb{Z}}$ is hereditary, but $\mathbf{Ab}^{(\mathbb{N},\leq)}$ is not.