Re: Right and Left Annihilators

From: Marc Olschok (sa796ol_at_l1-hrz.uni-duisburg.de)
Date: 03/11/05 

Date: 11 Mar 2005 15:58:26 GMT

warren065@aol.com wrote:
> My problem is the following: If I is a subset of R, we write ra(I)={x
> in R | Ix=0} to denote the right annihilator of I and la(I)={x in R |
> xI=0} denote the left annihilator of I. If R is semiprime and I is an
> ideal prove that ra(I)=la(I)
> [...]

If I is an ideal, then ra(I) and la(I) are also ideals.
No observe that for x is in ra(I) the subset xI is contained
in I intersection ra(I) .

Marc

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