The group of automorphisms of a distributively generated near ring-Reference-Cited by-同舟云学术

The group of automorphisms of a distributively generated near ring

Published:1983 Issue:1 Volume:88 Page:11-15
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Malone J. J.

Abstract

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1983-088-01/S0002-9939-1983-0691269-7/S0002-9939-1983-0691269-7.pdf

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4. A nonabelian 2-group whose endomorphisms generate a ring, and other examples of 𝐸-groups;Malone, J. J.;Proc. Edinburgh Math. Soc. (2),1980

5. Endomorphism near-rings;Malone, J. J.;Proc. Edinburgh Math. Soc. (2),1970

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