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On Generalized Finitary Groups

โœ Scribed by B.A.F. Wehrfritz

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
150 KB
Volume
247
Category
Article
ISSN
0021-8693

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โœฆ Synopsis

We introduce a wide range of generalized finitary automorphism groups of an arbitrary module M over an arbitrary ring R. The largest such subgroup of Aut M R that we seriously consider here is the subgroup of all R-automorphisms g of M ลฝ . such that M g y 1 has Krull dimension. We also consider the subgroup of all ลฝ . R-automorphisms g of M such that M g y 1 is Artinian as an R-module. The results are vaguely analogous to the genuine finitary case but are somewhat weaker.

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