I am looking for rings with many degree $d$ nilpotent elements and non-zero product, for detail check [1].
While working over ZZ[x,y] I noticed this, is it a bug? sage: Kx.<x,y>=ZZ[];Kquo.<w1,w2>=Kx.quotient([(2*x)^2,(3*y)^2]) sage: w1^2 w1^2 sage: w1*w2 w1*w2 sage: (w1*w2)^2 0 #why zero??? sage: ((x*y)^2).reduce(Ideal([(2*x)^2,(3*y)^2])) x^2*y^2 sage: [1]: https://mathoverflow.net/questions/504074/many-degree-d-nilpotent-elements-of-quotients-of-polynomial-rings-and-non-vani -- You received this message because you are subscribed to the Google Groups "sage-devel" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To view this discussion visit https://groups.google.com/d/msgid/sage-devel/CAGUWgD_vNGuzv6Of1qcoWH5vK1o2HCZqY98j9xfJ4wQKhsiaWw%40mail.gmail.com.
