However, while a right ⌺-pure-injective ring is semiprimary with maximum condition on annihilator right ideals, a right pure-injective ring is only Von Neumann regular modulo the radical with the idempotent-lifting property 200
On the Number of Injective Indecomposable Modules
✍ Scribed by Hans-Heinrich Brungs; Günter Törner
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 158 KB
- Volume
- 235
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
✦ Synopsis
For every natural number m, there exists a noncommutative valuation ring R with a completely prime ideal P so that there are exactly m nonisomorphic indecomposable injective right R-modules with P as associated prime ideal.
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