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Completely Indecomposable Modules

Published online by Cambridge University Press:  20 November 2018

Ernst Snapper
Ernst Snapper*
Affiliation:
University of Southern California
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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.)

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 1 , Issue 2 , 01 April 1949 , pp. 125 - 152
Copyright
Copyright © Canadian Mathematical Society 1949

References

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