Publication detail

Rings with invertible matrices necessarily containing units

DOLEŽEL, D. KUREŠ, M.

English title

Rings with invertible matrices necessarily containing units

Type

WoS Article

Language

en

Original abstract

t is proved that each invertible square matrix over a ring & 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.

Keywords in English

local ring, invertible matrix, Schur complement method

Released

2026-05-27

Publisher

De Gruyter Brill

Journal

Mathematica Slovaca

Volume

76

Number

3

Pages from–to

707–714

Pages count

8

BIBTEX


@article{BUT211828,
  author="{} and Miroslav {Kureš}",
  title="Rings with invertible matrices necessarily containing units",
  journal="Mathematica Slovaca",
  year="2026",
  volume="76",
  number="3",
  pages="8",
  doi="10.1515/ms-2026-0284",
  issn="0139-9918",
  url="https://www.degruyterbrill.com/journal/key/ms/76/3/html"
}