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- M. A. Chebotar, Wen-Fong Ke, Pjek-Hwee Lee
- 2004

For prime rings containing nontrivial idempotents, we describe the bijective additive maps which preserve zero products. Also, we describe the additive maps which behave like derivations when acting on zero products.

- Wen-Fong Ke, Hubert Kiechle
- J. Comb. Theory, Ser. A
- 1996

While investigating geometric and combinatorial properties of some incidence structures from planar nearrings, Clay introduced the notion of circularity in [ 2 ]. An example of a circular planar nearring is the planar nearring of the complex plane C with a new multiplication defined by a, b={O, if a=O; (a/lal)b, if a~0, for all a, b ~ C. The incidence… (More)

Following a method by Meldrum and van der Walt, near-rings of matrix maps are defined for general near-rings, not necessarily with identity. The influence of one-sided identities is discussed. When the base near-ring is integral and planar, the near-ring of matrix maps is shown to be simple. Various types of primitivity of the near-ring of matrix maps are… (More)

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