Address.
University of Botswana, Department of Mathematics, P/ Bag 00704,
Gaborone, Botswana
E-mail. chillumu@mopipi.ub.bw
Abstract. In this paper we establish some new characterizations for $Q$-rings and Noetherian $Q$-rings.
AMSclassification. 13A15, 13F20, 13G05.
Keywords. $Q$-ring, almost $Q$-ring, Noetherian $Q$-ring.