Proceedings of the American Mathematical Society
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 the group of units. The results obtained are used to find the automorphism groups of certain near rings.
Malone, J. J. (1983). The Group of Automorphisms of a Distributively Generated Near Ring. Proceedings of the American Mathematical Society, 88(1), 11-15. http://dx.doi.org/10.2307/2045100
First Page Number
Last Page Number
First published in Proceedings of the American Mathematical Society in 88(1), published by the American Mathematical Society.