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sppose-that-R-be-aring-and-we-have-the-ring-R-Z-prove-that-R-0-it-was-ideal-in-R-Z-and-prove-0-Z-be-isomorphic-in-Z-and-if-a-R-identity-element-a-




Question Number 78342 by mhmd last updated on 16/Jan/20
sppose that (R,+,.)be aring and we have the ring (R×Z,+^(′ ) ,.^′ ) prove that (R×0,+^′ ,.′) it was ideal in (R×Z,+^′ ,.^′ )  and prove (0×Z,+,.)be isomorphic in (Z,+,.)  and if a∈R identity element (a^2 =a)prove that (−a,1)be identity element in the ring (R×Z,+^′ ,.^′ )  pleas sir help me am neding this pleas?
spposethat(R,+,.)bearingandwehavethering(R×Z,+,.)provethat(R×0,+,.)itwasidealin(R×Z,+,.)andprove(0×Z,+,.)beisomorphicin(Z,+,.)andifaRidentityelement(a2=a)provethat(a,1)beidentityelementinthering(R×Z,+,.)pleassirhelpmeamnedingthispleas?

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