Let D be an integral domain with four elements, D = {O, e, a, b }, where e is the unity.   Prove that D has characteristic 2

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Q: Let p be an integral domain of characteristic 2. Show that va,bED, (a+ b)4 = a4 + b4.

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A: We prove the identity as,

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Q: be an integral domain of characteristic 2. Show that va,bED, (a+ b)4 = aª + bª. Let D

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Q: The union of two ideals is ideal* The only idempotent in an integral domain is 0 O T O F O O

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Q: Let D be an integral domain of characteristic 2. Show that for all a,b in D, (a+b)4=a4+b4 .

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Q: Let f : (-7, "] → R f (x) = 7 if - R < x < 0 _and S (x) = 7 if 0<x < m. Determine bị in the Fourier…

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A: Definition: A commutative ring with unity is called integral domain if a·b=0  ⇒  a=0   or  b=0.

Q: Prove

A: Let                 f(x)=x3+12x2+18x+6 By Eisenstein's Irreducible Criterion

Q: Let be an integral domain of characteristic 2. Show that Va,bED, (a+b)4=aª+b%.

A: Given that D is Integral Domain of characteristic 2. and a,b∈D  therefore  a+b∈D &amp; (a+b)2=e…

Q: Every ring without zero divisor it is an integral domain. T OF O *

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