✦ LIBER ✦
Some model theory over a nearly simple uniserial domain and decompositions of serial modules
✍ Scribed by Gennadi Puninski
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 151 KB
- Volume
- 163
- Category
- Article
- ISSN
- 0022-4049
No coin nor oath required. For personal study only.
✦ Synopsis
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 countably generated module over the endomorphism ring of M .