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- W2065782757 abstract "Let M be a module over the commutative ring R . The finitary automorphism group of M over R is F Aut R M = { g ∈ Aut R M : M ( g − 1 ) is R -noetherian } and the artinian-finitary automorphism group of M over R is F 1 Aut R M = { g ∈ Aut R M : M ( g − 1 ) is R -artinian } . We investigate further the very close relationship between these two types of automorphism groups. The most interesting result in this present paper is the following. The group G = F 1 Aut R M is locally normal-finitary; specifically every finite subset of G lies in a normal subgroup of G that is isomorphic to a finitary group of automorphisms of some module over some commutative ring." @default.
- W2065782757 created "2016-06-24" @default.
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- W2065782757 date "2005-05-01" @default.
- W2065782757 modified "2023-09-28" @default.
- W2065782757 title "Artinian-finitary groups are locally normal-finitary" @default.
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- W2065782757 doi "https://doi.org/10.1016/j.jalgebra.2005.01.034" @default.
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