Every Σ-CS-module has an indecomposable decomposition

Author:

Gómez Pardo José,Guil Asensio Pedro

Abstract

We show that every Σ \Sigma -CS module is a direct sum of uniform modules, thus solving an open problem posed in 1994 by Dung, Huynh, Smith and Wisbauer. With the help of this result we also answer several other questions related to indecomposable decompositions of CS-modules.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference19 articles.

1. On Σ-extending modules;Al-attas, Ali Omer;Comm. Algebra,1997

2. Graduate Texts in Mathematics, Vol. 13;Anderson, Frank W.,1974

3. On the decomposition of nonsingular CS-modules;Clark, John;Canad. Math. Bull.,1996

4. Σ-extending modules;Clark, John;J. Pure Appl. Algebra,1995

5. \bysame, Polyform and projective Σ-extending modules, Algebra Colloquium 5 (1998), 391–408.

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