How does one define the ring $\mathbb{C}[[x,y]]$ of formal power series in two variables over $\mathbb{C}$ in Macaulay2? Or Singular? I have seen some papers that claim to perform calculations in Macaulay2 with modules over formal power series rings, but they do not explain how.
2026-03-28 12:38:53.1774701533
Ring of formal power series in Macaulay2
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@Ashwin,
As mentioned by David Eisenbud on the Mark's link, Singular is optimised for local ordering.
In Singular you can define something called as local ordering. For example, the following
Singularcode might help you:ring r = 0, (x,y,z), ds;For more details and examples, have a look at Singular help.
Hope this helps!
-- Mike