3 papers
math.GR2024
Levels of cancellation for monoids and modules
Pere Ara, Ken Goodearl, Pace P. Nielsen +3
Levels of cancellativity in commutative monoids , determined by stable rank values in for elements of , are investigated. The behavior of t…
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…