5 papers
Super adaptable graphs and the realization problem
Pere Ara, Joan Bosa, Laurent Cantier +2
We introduce and study the family of super adaptable monoids, which includes, among many others, all conical refinement monoids that are either finitely generated, or countable, pr…
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…
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.…
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…
Fractional skew monoid rings
P. Ara, M. A. Gonzalez-Barroso, K. R. Goodearl +1
Given an action of a monoid on a ring by ring endomorphisms, and an Ore subset of , a general construction of a fractional skew monoid ring is g…