division ring

English

Noun

division ring (plural division rings)

(algebra) A ring with 0 ≠ 1, such that every non-zero element a has a multiplicative inverse, meaning an element x with ax = xa = 1.

Synonyms

skew field

Hypernyms

noncommutative ring

Hyponyms

division algebra

Translations

algebraic concept

Czech: těleso (cs) n
Dutch: (Belgium) lichaam (nl) n, (Netherlands) scheef lichaam n

Polish: pierścień z dzieleniem m, (dated) ciało nieprzemienne n

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