Meanings
noundivision ring (plural division rings)
plural division rings
- algebraA ring with 0 ≠ 1, such that every non-zero element a has a multiplicative inverse, meaning an element x with ax = 1.
Synonyms: skew field
Synonyms & antonyms
nounA ring with 0 ≠ 1, such that every non-zero element a has a multiplicative inverse, meaning an element x with ax = 1.
Similar
Translations
Czech těleso
- tělesoalgebraic concept
Dutch lichaam, scheef lichaam
- lichaamalgebraic concept
- scheef lichaamalgebraic concept
Finnish jakorengas
- jakorengasalgebraic concept
French anneau à division, corps gauche
- anneau à divisionalgebraic concept
- corps gauchealgebraic concept
- corps non commutatifalgebraic concept
- corpsalgebraic concept
Polish pierścień z dzieleniem, ciało nieprzemienne
- pierścień z dzieleniemalgebraic concept
- ciało nieprzemiennealgebraic concept
Cite this entry
APA
division ring. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/division%20ring
MLA
“division ring.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/division%20ring. Accessed November 3, 2026.
Chicago
WatkinsX Dictionary, s.v. “division ring,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/division%20ring.
Source: division ring on Wiktionary, CC BY-SA 4.0.