Completely Indecomposable Modules
- 1 April 1949
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 1 (2) , 125-152
- https://doi.org/10.4153/cjm-1949-013-3
Abstract
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.)Keywords
This publication has 0 references indexed in Scilit: