Mathematics, 14.09.2019 01:30 AnActualTrashcan
If a is a nilpotent element of r, a ring with identity, establish that 1 + a is invertible in r.
[hint: (1 + a)-1 = 1-a + a^{2} + + (-1)-1(a)n-1, where (a)^{n}=0]
Answers: 2
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If a is a nilpotent element of r, a ring with identity, establish that 1 + a is invertible in r.
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