Decomposition of modules over right uniserial rings
โ Scribed by Vlastimil Dlab; Claus Michael Ringel
- Publisher
- Springer-Verlag
- Year
- 1972
- Tongue
- French
- Weight
- 982 KB
- Volume
- 129
- Category
- Article
- ISSN
- 0025-5874
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We introduce and impose conditions under which the finitely generated essential right ideals of E may be classified in terms of k-submodules of M. This yields a classification of the domains Morita equivalent to E when E is a Noetherian domain. For example, a special case of our results is:
By a careful investigation of the model theory of modules over a special class of uniserial domains we give some (counter) examples to a decomposition of a serial module. For instance, there is a uniserial module M over a uniserial domain that is not quasi-small. Also, there is a projective non-free