Kevin C. O'Meara

collaborators

3 papers

math.RA2026

Positive definite matrices and involutions: the manners of their infinite cousins

Pere Ara, Ken Goodearl, Kevin C. O'Meara

Matrices and involutions in/on the algebras $B (R)$ and $B (C)$ of real (resp., complex) row- and column-finite $ω \times ω$ matrices are studied. It is proved that a…

math.GR2024

Levels of cancellation for monoids and modules

Pere Ara, Ken Goodearl, Pace P. Nielsen +3

Levels of cancellativity in commutative monoids $M$ , determined by stable rank values in $Z_{> 0} \cup {\infty}$ for elements of $M$ , 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.…