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Groups and rings tweaks
From Jireh on Zulip about the groups and rings chapter:
- Early on when discussing morphisms, the proofs used
f.map_mulorf.map_invas opposed tomap_mul fandmap_inv f. Of course this is minor, but at the same time, it doesn't seem like these kinds of generic hom-class lemmas were discussed in the previous chapter (7.2: Hierarchies - Morphisms), so maybe the point to do it is here? - Upon introducing the polynomial notation
R[X], I think that special emphasis should be placed on the fact that this is only syntax, theXhas no meaning. It's not likeR[Y]gives you polynomials in a different indeterminate. The same goes forPolynomial.Xwhich gets abbreviated toXin the examples. On a cursory read, I can imagine a newcomer (especially students) being confused about the fact thatYdoesn't work if you replaceXeverywhere.