M2
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Base change
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There should be a documentation page about base change. Also, this should probably work:
i1 : ZZ[a,b] ** QQ
o1 = QQ[a..b]
o1 : PolynomialRing
i2 : ZZ/101[a,b] ** QQ -- this one makes sense
stdio:2:13:(3): error: tensor product not implemented for these rings
i3 : ZZ[a,b] ** ZZ/101 -- this one doesn't
stdio:3:9:(3): error: no coefficient ring present
Also this:
i1 : S = ZZ[x,y];
i2 : R = S ** S;
i3 : R ** QQ
stdio:3:3:(3): error: map: multiple variables would map to the same variable, by name