%0 Journal Article
%T A note on zero-divisors of commutative rings
%A M. Filipowicz
%A M. K pczyk
%J Arabian Journal of Mathematics
%@ 2193-5351
%D 2012
%I 
%R 10.1007/s40065-012-0003-8
%X In this paper we show that if a ring R has finite Goldie dimension, then every finitely generated ideal of R consisting of zero-divisors has non-zero annihilator. We also construct an example of a ring of infinite Goldie dimension such that above condition does not hold.
%K 16P60
%K 16D25
%U http://link.springer.com/article/10.1007/s40065-012-0003-8