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Checking if Quotient Rings are Isomorphic

asked 2016-07-05 16:08:19 -0500

Hey all!

I was wondering if there was a way to check if two quotient polynomial rings were isomorphic to each other in SAGE. In particular I tried this

R.<x,y,z> = PolynomialRing(QQ)

I = R.ideal(x+y+z,x^2,y^2,z^2,x^3,y^3,z^3,x^2y,y^2x,xyz,y^2z,yz^2,xz^2,zx^2)

S = R.quotient_ring(I)

T.<w> = PolynomialRing(QQ)

J = T.ideal(w^3)

P = T.quotient_ring(J)

S.is_isomorphic(P)

But there is no is_isomorphic for Quotient Rings that I could find

Thanks!

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answered 2016-07-06 02:11:55 -0500

tmonteil gravatar image

It seems indeed that this is not implemented in Sage. If you know some algorithm that do that, it would make a great improvement to Sage !

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Asked: 2016-07-05 16:08:19 -0500

Seen: 51 times

Last updated: Jul 06 '16