scholarly journals Degenerations for indecomposable modules and tame algebras

1998 ◽  
Vol 31 (2) ◽  
pp. 153-180 ◽  
Author(s):  
A SKOWROSKI ◽  
G ZWARA
Keyword(s):  
Indecomposable Modules ◽  
Tame Algebras

scholarly journals On the numbers of discrete indecomposable modules over tame algebras

1997 ◽  
Vol 73 (1) ◽  
pp. 93-114 ◽  
Author(s):  
Andrzej Skowroński ◽  
Grzegorz Zwara
Keyword(s):  
Indecomposable Modules ◽  
Tame Algebras

scholarly journals The strong simple connectedness of tame algebras with separating almost cyclic coherent Auslander–Reiten components

2021 ◽  
Author(s):  
Piotr Malicki
Keyword(s):  
Closed Field ◽  
Algebraically Closed Field ◽  
Main Application ◽  
Finite Dimensional ◽  
Simple Connectedness ◽  
Tame Algebras

AbstractWe study the strong simple connectedness of finite-dimensional tame algebras over an algebraically closed field, for which the Auslander–Reiten quiver admits a separating family of almost cyclic coherent components. As the main application we describe all analytically rigid algebras in this class.

scholarly journals Indecomposable modules over pure semisimple hereditary rings

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

scholarly journals Indecomposable modules over one-dimensional Noetherian rings

2007 ◽  
Vol 208 (2) ◽  
pp. 739-760 ◽  
Author(s):  
Meral Arnavut ◽  
Melissa Luckas ◽  
Sylvia Wiegand
Keyword(s):  
Noetherian Rings ◽  
Indecomposable Modules ◽  
One Dimensional

Completely Indecomposable Modules

1949 ◽  
Vol 1 (2) ◽  
pp. 125-152 ◽  
Author(s):  
Ernst Snapper
Keyword(s):  
Abelian Group ◽  
Commutative Ring ◽  
Chain Condition ◽  
Indecomposable Module ◽  
Unit Element ◽  
Indecomposable Modules ◽  
Operator Domain ◽  
Unit Operator ◽  
Ascending Chain Condition

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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