**A.BENINI and F.MORINI**

*Weakly divisible nearrings on the group of integers*

**Pages:** 1-11

**Received:** 16 March 1998

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

**Abstract**:
A nearring *N* is weakly divisible (wd-nearring) if,
for each *x,y* of *N*, there exists an element *z* of *N*
such that *xz = y* or *yz = x*. In this paper we characterise
and construct all zerosymmetric wd-nearrings on the group
(**Z*** _{pn}*,
+) of integers (mod

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