**A. BENINI** and **F. MORINI**

*On the construction of a class of weakly divisible nearrings*

**Pages:** 103-111

**Received:** 5 May 1998

**Mathematics Subject Classification (2000):** 16Y30

Work carried out on behalf of Italian M.U.R.S.T.

**Abstract**:
A nearring *N* is called weakly divisible (wd-nearring)
if, for each *x,y* included in *N*, there exists an element *z*
in *N* such that *xz=y* or *yz=x*. A method to generate
all the zerosymmetric wd-nearrings on the cyclic group (Z* _{pn}*,
+) whose set of the nilpotent elements equals

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