3 papers
math.GR2022
Forcing a Basis into -Free Groups
Daniel Bossaller, Daniel Herden, Alexandra V. Pasi
In this paper, we address the question of when a non-free -free group can be be free in a transitive cardinality-preserving model extension. Using the -invariant,…
math.RA2019
A Family of Almost Invertible Infinite Matrices
Daniel P. Bossaller
An algebraic analogue of the family of Fredholm operators is introduced for the family of row and column finite matrices, dubbed "Fredholm matrices." In addition, a measure is intr…
math.RA2018
On the Associativity of Infinite Matrix Multiplication
Daniel P. Bossaller, Sergio R. López-Permouth
A natural definition of the product of infinite matrices mimics the usual formulation of multiplication of finite matrices with the caveat (in the absence of any sense of convergen…