As I understand, groebner_basis() in Sage uses Singular as a backend to compute the groebner basis of ideals in polynomial rings. However, Singular can also compute the groebner basis of modules. Is this functionality available in Sage? Similarly, in Singular the "syz" function can compute the syzygy module of either an ideal or a module, but the syzygy_module() function in Sage seems to work for ideals only. I would like to use Sage instead of using Singular directly. Is there an easy workaround?
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