Primary decompositions of unital locally matrix algebras
We construct a unital locally matrix algebra of uncountable dimension that (1) does not admit a primary decomposition, (2) has an infinite locally finite Steinitz number. It gives negative answers to questions from [V. M. Kurochkin, On the theory of locally simple and locally normal algebras, Mat. S...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
World Scientific Publishing
2020-04-01
|
| Series: | Bulletin of Mathematical Sciences |
| Subjects: | |
| Online Access: | http://www.worldscientific.com/doi/pdf/10.1142/S166436072050006X |