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| ``f(1)=1 dangerous''
by AxelBoldt on 2003-11-19 18:04:40 |
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| The f(1)=1 requirement for unitary rings has the following consequence: it is possible that f:R->S and g:S->T are ring homomorphisms, yet gf:R->T is not. So rings together with ring homomorphisms do not form a category.
So maybe one should distinguish between a "homomorphism of rings" and a "homomorphism of unitary rings". |
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