@misc{10498/36065, year = {2025}, url = {http://hdl.handle.net/10498/36065}, 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).}, publisher = {Academic Press Inc.}, keywords = {(Strong) separativity}, keywords = {Exchange rings}, keywords = {Inverse limit}, keywords = {Refinement}, keywords = {Regular rings}, title = {Regular ring properties degraded through inverse limits}, doi = {10.1016/J.JALGEBRA.2024.11.006}, author = {Ara, Pere and Goodearl, Ken and O'Meara, Kevin C. and Pardo Espino, Enrique and Perera, Francesc}, }