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arXiv · 2405.06837

Regular Ring Properties Degraded Through Inverse Limits

Pere Ara·Ken Goodearl·Kevin C. O'Meara·Enrique Pardo·Francesc Perera
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Abstract

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).

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Pere Ara, Ken Goodearl, Kevin C. O'Meara, Enrique Pardo, Francesc Perera. 2024-05-10. Regular Ring Properties Degraded Through Inverse Limits. https://arxiv.org/abs/2405.06837

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