Abstract
In this note, we introduce a weak form of equational compactness of modules, which we called x0-compactness, together with some of its basic properties. We then use it to settle in the negative a problem of G. H. Wenzel. We also prove the adjacent result that, over a wide class of commutative rings, if every module is x0-compact then the ring has finite representation type.
| Original language | English |
|---|---|
| Pages (from-to) | 221-225 |
| Number of pages | 5 |
| Journal | Algebra Universalis |
| Volume | 38 |
| Issue number | 3 |
| DOIs | |
| State | Published - 1997 |
Bibliographical note
Funding Information:The author gratefully acknowledges the support provided by King Fahd University of Petroleum and Minerals.
ASJC Scopus subject areas
- Algebra and Number Theory