Proceedings of the Edinburgh Mathematical Society (Series 2)

Research Article

Annihilators in semiprime right Goldie rings

C. R. Hajarnavisa1

a1 Mathematics Institute University of Warwick Coventry CV4 7AL, United Kingdom

(i) Let R be a semiprime right Goldie ring with dim R = n. Then a maximal chain of right annihilators in R has exactly n terms, (ii) A semiprime locally right Goldie ring with ACC and DCC on right annihilators is a right Goldie ring.

(Received March 20 1990)