On Tue, Sep 6, 2022 at 10:32 PM John H Palmieri <jhpalmier...@gmail.com> wrote: > > Let R = k[x_1, x_2, ..., x_n] be a polynomial ring over a field k of > characteristic p. Given elements a_1, a_2, ..., a_m and b in R, I would like > to know if b is in the subalgebra generated by a_1, ..., a_m.My impression > from a superficial skim of the literature (Shannon and Sweedler, > https://www.sciencedirect.com/science/article/pii/S0747717188800476, for > example) is that this problem has been solved using Grobner bases. Is there > something already in Sage that can easily perform this test? I couldn't find > any method "in_subalgebra" or "in_subring" or any obviously relevant > "__contains__", or even a method for constructing a subalgebra of a > polynomial ring, but maybe I'm missing something obvious.
in Singular it is available: https://www.singular.uni-kl.de/Manual/4-3-1/sing_1247.htm#SEC1328 So the question is to make an interface. > > (I don't actually care about representing b inside the subalgebra, I just > want to know if it's there, in case that helps.) > > -- > John > > -- > You received this message because you are subscribed to the Google Groups > "sage-support" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to sage-support+unsubscr...@googlegroups.com. > To view this discussion on the web visit > https://groups.google.com/d/msgid/sage-support/e69e3952-57bf-4d8e-b213-1aaaa6a691d4n%40googlegroups.com. -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/sage-support/CAAWYfq2DG6ZDT372rF%2B12%2BhM4cykPmKyabL19Wq2qJA9TTLZiQ%40mail.gmail.com.
