The Athens Algebra Seminar features Daniel Bossaller on “Row and column finite matrices” on Thursday, Oct. 8, from 4:35 to 5:30 p.m. in Morton 218.
Bossaller is a graduate student and teaching assistant in the Mathematics Department at Ohio University.
Abstract: This is a presentation of a paper by Pace Nilsen. The abstract of the paper states “Consider the ring of all kappa by kappa column finite matrices over a ring R. We prove that each such matrix is conjugate to a row and column finite matrix if and only if R is right noetherian and kappa is countable. We then demonstrate that one can perform this conjugation on countably many matrices simultaneously. Some applications and limitations are given.”
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