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Completely Indecomposable Modules
Published online by Cambridge University Press: 20 November 2018
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The purpose of this paper is to investigate completely indecomposable modules. A completely indecomposable module is an additive abelian group with a ring A as operator domain, where the following four conditions are satisfied.
1-1. A is a commutative ring and has a unit element which is unit operator for .
1-2. The submodules of satisfy the ascending chain condition. (Submodule will always mean invariant submodule.)
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- Copyright © Canadian Mathematical Society 1949
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