Units and linear independence

Authors

Sergio R. Lopez-Permouth, Ohio University - Main CampusFollow
Jeremy Moore, Otterbein UniversityFollow
Nick Pilewski
Steve Szabo, Eastern Kentucky UniversityFollow

Author ORCID Identifier

0000-0002-0523-5162

Department

Mathematics and Statistics

Department Name When Scholarship Produced

Mathematics and Statistics

Document Type

Article

Publication Date

2023

Abstract

An algebra A will be called fluid if for any linearly independent set X consisting of units, the set X−1 of inverses of the elements of X is also linearly independent. We consider various examples of fluid algebras and study fluid algebras in some specific settings including direct sums, field extensions, quotient rings of the ring of polynomials over a field, and matrix algebras. Pertinent parameters for the study of fluidity are also introduced and studied.

Recommended Citation

López-Permouth, S. R., Moore, J., Pilewski, N., & Szabo, S. (2023). Units and linear independence. Journal of Algebra & Its Applications, 1

Journal Title

Journal of Algebra and Its Applications