Hi Oleksandr!

On Sep 4, 6:52 pm, Oleksandr <mot...@rhrk.uni-kl.de> wrote:
[...]
> Please do let us know about your favorite and yet missing non-
> commutative features!
>
> Any feedback is greatly appreciated!

AFAIK, the Singular kernel has a marker for functions that are only
available in the commutative case. I think it would be nice to
distinguish not two but three cases: commutative, supercommutative,
and general G-algebras.

This suggestion comes from the observation that many algorithms for
commutative rings work in the supercommutative (or graded commutative)
setting as well, but Singular refuses them since they would not work
for general G-algebras. Therefore, in my applications I had in some
cases to work around and implement these algorithms as library
functions.

Three examples:
 * Kernel/preimage of maps
 * Hilbert polynomial/function: This certainly makes sense for
(weighted) homogeneous ideals in graded commutative rings.
 * AFAIK dim (Krull dimension) makes sense in the graded commutative
case as well.

Best regards,
Simon

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