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center of ring

 Co maximal ideals : 

 Two ideals A and B of R are said to be co-maximal if A+ B =R

Centre of a ring :

 Let R be a ring then its center denoted by Z (R ) and is defined as Z (R) { rÎR:xr = rx  right all xÎR }

 Right annihilator of an element : 

Let R be a ring and a  ÎR be any element. Then, right annihilator of ‘a’ is denoted by r (a ) , and is defined as r(a) ={ rÎR:ar =0  In words , we can say that right annihilator of ‘a’ is the collection of all those elements of ring which when multiplied with ‘a’ on the right hand side gives zero.

 

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