Rings with invertible matrices necessarily containing units
Abstract It is proved that each invertible square matrix over a ring R contains at least one entry that is a unit in R if and only if R is local. Futhermore, an application of the theorem in Schur algorithm is presented.
Authors
- Miroslav Kureš (ORCID: https://orcid.org/0000-0001-6222-389X)
- Dominik Doležel
Institutions
- Charles University (CZ)
- Brno University of Technology (CZ)
Publication Details
- Journal
- Mathematica Slovaca
- Published
- 2026-05-21
- DOI
- https://doi.org/10.1515/ms-2026-0284
- Primary Topic
- Advanced Topics in Algebra
- Type
- article
- Field-Weighted Citation Impact
- 0.00