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bn:03799012n
Noun Concept
Categories: Ring theory
EN
division ring  non necessarily commutative field  non commutative field  Ring with division  Skew-field
EN
In algebra, a division ring, also called a skew field, is a nontrivial ring in which division by nonzero elements is defined. Wikipedia
Definitions
Relations
Sources
EN
In algebra, a division ring, also called a skew field, is a nontrivial ring in which division by nonzero elements is defined. Wikipedia
Ring in which division is possible Wikidata
Ring in which the set of non-zero elements is a multiplicative group Wikidata
A ring with 0 ≠ 1, such that every non-zero element a has a multiplicative inverse, meaning an element x with ax = xa = 1. Wiktionary
Algebraic concept. Wiktionary (translation)
IS A
noncommutative ring
multiplicative identity
HAS PART
Abelian group
HAS KIND
field
DIFFERENT FROM
field
SAID TO BE THE SAME AS
division ring
STUDIED BY
abstract algebra
ring theory
Wikipedia
EN
division ring
Wikidata
EN
division ring, non necessarily commutative field
Wiktionary
EN
division ring
Wikipedia Redirections
EN
Ring with division, Skew-field, skew field, skewfield, Wedderburn little theorem
Wikidata Alias
EN
Division ring, non commutative field, skew field

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