Riv.Mat.Univ.Parma (6) 1 (1998)


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 (Zpn, +) of integers (mod pn), p prime, in which pZpn is the set of all the nilpotent elements.

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