On an isomorphism problem for endomorphism near-rings
Author:
Gary L. Peterson
Journal:
Proc. Amer. Math. Soc. 126 (1998), 1897-1900
MSC (1991):
Primary 16Y30; Secondary 20E36
DOI:
https://doi.org/10.1090/S0002-9939-98-04302-0
MathSciNet review:
1443403
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Abstract | References | Similar Articles | Additional Information
Abstract: Suppose $R$ and $S$ are endomorphism near-rings generated by groups of automorphisms containing the inner automorphisms of two respective finite perfect groups $G$ and $H$. In this note we show that if $R$ and $S$ are isomorphic, then $G/Z(G)$ and $H/Z(H)$ are isomorphic.
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Additional Information
Gary L. Peterson
Affiliation:
Department of Mathematics James Madison University Harrisonburg, Virginia 22807
Email:
peterson@math.jmu.edu
Keywords:
Near-ring,
endomorphism near-ring
Received by editor(s):
June 30, 1996
Received by editor(s) in revised form:
December 6, 1996
Communicated by:
Lance W. Small
Article copyright:
© Copyright 1998
American Mathematical Society