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Question Number 75952 by mhmd last updated on 21/Dec/19
are this (cent(R),+,.)identical in the ring (R,+,.) ?  pleas sir are you can help me?
$${are}\:{this}\:\left({cent}\left({R}\right),+,.\right){identical}\:{in}\:{the}\:{ring}\:\left({R},+,.\right)\:? \\ $$$${pleas}\:{sir}\:{are}\:{you}\:{can}\:{help}\:{me}? \\ $$
Commented by kaivan.ahmadi last updated on 21/Dec/19
if c∈centR,r∈R  ⇒rcy=ryc=yrc: ∀y∈R  ⇒rc∈centR
$${if}\:{c}\in{centR},{r}\in{R} \\ $$$$\Rightarrow{rcy}={ryc}={yrc}:\:\forall{y}\in{R} \\ $$$$\Rightarrow{rc}\in{centR} \\ $$

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