Regular Ring Properties Degraded Through Inverse Limits
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910705757716480 |
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| author | Ara, Pere Goodearl, Ken O'Meara, Kevin C. Pardo, Enrique Perera, Francesc |
| author_facet | Ara, Pere Goodearl, Ken O'Meara, Kevin C. Pardo, Enrique Perera, Francesc |
| contents | 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). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_06837 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Regular Ring Properties Degraded Through Inverse Limits Ara, Pere Goodearl, Ken O'Meara, Kevin C. Pardo, Enrique Perera, Francesc Rings and Algebras Primary 16E50, Secondary 16E20, 18A30, 20M14 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). |
| title | Regular Ring Properties Degraded Through Inverse Limits |
| topic | Rings and Algebras Primary 16E50, Secondary 16E20, 18A30, 20M14 |
| url | https://arxiv.org/abs/2405.06837 |