A.BENINI and F.MORINI
Weakly divisible nearrings on the group of integers
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 (Zpn, +) of integers (mod pn), p prime, in which pZpn is the set of all the nilpotent elements.