Detail publikačního výsledku

Rings with invertible matrices necessarily containing units

DOLEŽEL, D.; KUREŠ, M.

Originální název

Rings with invertible matrices necessarily containing units

Anglický název

Rings with invertible matrices necessarily containing units

Druh

Článek WoS

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

local ring, invertible matrix, Schur complement method

Klíčová slova v angličtině

local ring, invertible matrix, Schur complement method

Autoři

DOLEŽEL, D.; KUREŠ, M.

Vydáno

27.05.2026

Nakladatel

De Gruyter Brill

Periodikum

Mathematica Slovaca

Svazek

76

Číslo

3

Stát

Slovenská republika

Strany od

707

Strany do

714

Strany počet

8

URL

https://www.degruyterbrill.com/journal/key/ms/76/3/html

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"
}