Is there a ring such that there are two different ring injections ?

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# A two-liner

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2 thoughts on “A two-liner”

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Is there a ring such that there are two different ring injections ?

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is such a ring. Take the non-trivial automorphism of and extend it to an automorphism . The restriction of the latter automorphism to gives a non-trivial injection.

Notice that the image of by this automorphism cannot be , since there are no non-trivial automorphisms of .

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Easier solution, proposed by Iván: consider the maps given by and .

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