Regular ring properties degraded through inverse limits
We give a number of constructions where inverse limits seriously degrade properties of regular rings, such as unit-regularity, diagonalisation of matrices, and finite stable rank. This raises the possibility of using inverse limits to answer the long standing Separativity Problem (in the negative).
Authors
- Francesc Perera (ORCID: https://orcid.org/0000-0002-4669-4736)
- Pere Ara (ORCID: https://orcid.org/0000-0003-3739-9599)
- K.C. O’Meara (ORCID: https://orcid.org/0000-0002-8090-3466)
- Enrique Pardo (ORCID: https://orcid.org/0000-0002-1909-2895)
- K. R. Goodearl
Publication Details
- Journal
- Journal of Algebra
- Published
- 2024-11-19
- DOI
- https://doi.org/10.1016/j.jalgebra.2024.11.006
- Primary Topic
- Rings, Modules, and Algebras
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Science Foundation
- Generalitat de Catalunya
- Universidad de Cádiz
- Junta de Andalucía
- University of California, Santa Barbara
- European Regional Development Fund
- Agencia Estatal de Investigación