Near Ring Multiplications on a Modified Near Module Over a Near Ring

The Near-Ring of Lipschitz Functions on a Metric Space

This paper treats near-rings of zero-preserving Lipschitz functions on metric spaces that are also abelian groups, using pointwise addition of functions as addition and composition of functions as multiplication. We identify a condition on the metric ensuring that the set of all such Lipschitz functions is a near-ring, and we investigate the complications that arise from the lack of left distri...

Rigid Resolution of a Finitely Generated Module Over a Regular Local Ring

The Group of Automorphisms of a Distributively Generated Near Ring

S. D. Scott has shown that the group of automorphisms of the near ring generated by the automorphisms of a given group is isomorphic to the automorphism group of the given group if that group's automorphism is complete. Here that theorem is generalized by showing that the group of automorphisms of a near ring distributively generated by its units is a subgroup of the group of automorphisms of t...

Zero-Divisor Graph of an Ideal of a Near-Ring

Let N be a near-ring. In this paper, we associate a graph corresponding to the 3-prime radical I of N , denoted by ΓI(N). Further we obtain certain topological properties of Spec(N), the spectrum of 3-prime ideals of N and graph theoretic properties of ΓI(N). Using these properties, we discuss dominating sets and connected dominating sets of ΓI(N).

Near-Threshold Photodissociation of Cold CH1 in a Storage Ring

U. Hechtfischer,1 Z. Amitay,2 P. Forck,1 M. Lange,1 J. Linkemann,1 M. Schmitt,1 U. Schramm,1 D. Schwalm,1 R. Wester,1 D. Zajfman,2 and A. Wolf1 1Max-Planck-Institut für Kernphysik und Physikalisches Institut der Universität Heidelberg, 69029 Heidelberg, Germany 2Department of Particle Physics, Weizmann Institute of Science, Rehovot, 76100, Israel (Received 12 November 1997) Photodissociation of...