**
R. Omanadze**

##
On Some Properties of r-Maximal Sets and Q_{1-N}-Reducibility

**abstract:**

It is shown that if M_{1}, M_{2} are r-maximal sets and if M_{1}
is (Q_{1-N})-equivalent to M_{2}, then M_{1} is
m-equivalent to M_{2}. In addition, we prove that there exists a
simultaneously Q_{1-N}- and W-complete recursively enumerable set which
is not sQ-complete.