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ARTINIAN-FINITARY GROUPS OVER COMMUTATIVE RINGS AND NON-COMMUTATIVE RINGS

Published online by Cambridge University Press:  01 October 2004

B. A. F. WEHRFRITZ
B. A. F. WEHRFRITZ
Affiliation:
School of Mathematical Sciences, Queen Mary, University of London, Mile End Road, London E1 4NS, United Kingdom
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Abstract

Let $M$ be a module over the ring $R$. Extensive use is made of Krull codimension to study further the Artinian-finitary automorphism group $\[ F_1\hbox{\rm Aut}_RM \,{=}\, \{g\,{\in}\hbox{ Aut}_RM \,{:}\, M(g - 1) \hbox{ is } R\hbox{-Artinian}\} \]$ of $M$ over $R$. Substantial progress is made where either $M$ is residually Noetherian or $R$ is commutative. There are some group-theoretic consequences of the two main structure theorems.

Keywords

20H9920K3020F28
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 70 , Issue 2 , October 2004 , pp. 325 - 340
Copyright
The London Mathematical Society 2004

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