prove that (ann(I),+,.) identical in (R,+,.)?


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Question Number 75954 by mhmd last updated on 21/Dec/19

$p r o v e t h a t (a n n (I), +, .) i d e n t i c a l i n (R, +, .) ?$
Commented by kaivan.ahmadi last updated on 21/Dec/19

$i t s a r i g h t i d e a l n o i d e n t i c a l$
Commented by kaivan.ahmadi last updated on 21/Dec/19

$x \in a n n I \Rightarrow x I = 0$ $i f r \in R \Rightarrow r x I = 0 \Rightarrow r x \in a n n I$ $\Rightarrow I i s a n r i g h t i d e a l .$
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