Indecomposable modules with cyclic vertex

Author(s):  
Wolfgang Hamernik
2012 ◽  
Vol 371 ◽  
pp. 577-595 ◽  
Author(s):  
Nguyen Viet Dung ◽  
José Luis García

2007 ◽  
Vol 208 (2) ◽  
pp. 739-760 ◽  
Author(s):  
Meral Arnavut ◽  
Melissa Luckas ◽  
Sylvia Wiegand

1949 ◽  
Vol 1 (2) ◽  
pp. 125-152 ◽  
Author(s):  
Ernst Snapper

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.)


2017 ◽  
Vol 531 ◽  
pp. 423-446 ◽  
Author(s):  
Paolo Casati ◽  
Andrea Previtali ◽  
Fernando Szechtman

1976 ◽  
Vol 82 (6) ◽  
pp. 884-888 ◽  
Author(s):  
Robert Gordon ◽  
Edward L. Green

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