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math.RA2024
Regular Ring Properties Degraded Through Inverse Limits
Pere Ara, Ken Goodearl, Kevin C. O'Meara +2
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.…
math.RA2024
The separativity problem in terms of varieties and diagonal reduction
Pere Ara, Ken Goodearl, Pace P. Nielsen +2
We provide two new formulations of the separativity problem. First, it is known that separativity (and strong separativity) in von Neumann regular (and exchange) rings is tightly c…