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On Central Endomorphisms of a Group with Operators

On Central Endomorphisms of a Group with Operators Let G be a group with a set Ω of operators such that Z(G) is Ω-admissible. Central Ω-automorphisms occur in the Krull-Remak-Schmidt Theorem. We discuss the existence of a central Ω-endomorphism of G that is not an automorphism. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Algebra Colloquium Springer Journals

On Central Endomorphisms of a Group with Operators

Harris, Morton
Algebra Colloquium , Volume 10 (1) – Jan 1, 2003
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Publisher
Springer Journals
Copyright
Copyright © 2003 by AMSS CAS
Subject
Mathematics; Algebra; Algebraic Geometry
ISSN
1005-3867
eISSN
0219-1733
DOI
10.1007/s100110300001
Publisher site
See Article on Publisher Site

Abstract

Let G be a group with a set Ω of operators such that Z(G) is Ω-admissible. Central Ω-automorphisms occur in the Krull-Remak-Schmidt Theorem. We discuss the existence of a central Ω-endomorphism of G that is not an automorphism.

Journal

Algebra Colloquium – Springer Journals

Published: Jan 1, 2003

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