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Details for article 16 of 39 found articles
| Title: |
Lifting Modules with Indecomposable Decompositions |
| Author: |
Er, Noyan Ertas, Nil Orhan |
| Appeared in: |
Communications in algebra |
| Paging: | Volume 36 (2008) nr. 2 pages 395-404 |
| Year: |
2008-02 |
| Contents: |
A module M is called a “lifting module” if, any submodule A of M contains a direct summand B of M such that A/B is small in M/B. This is a generalization of projective modules over perfect rings as well as the dual of extending modules. It is well known that an extending module with ascending chain condition (a.c.c.) on the annihilators of its elements is a direct sum of indecomposable modules. If and when a lifting module has such a decomposition is not known in general. In this article, among other results, we prove that a lifting module M is a direct sum of indecomposable modules if (i) rad(M(I)) is small in M(I) for every index set I, or, (ii) M has a.c.c. on the annihilators of (certain) elements, and rad(M) is small in M. |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 16 of 39 found articles
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