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- Division_ring abstract "In abstract algebra, a division ring, also called a skew field, is a ring in which division is possible. Specifically, it is a nonzero ring in which every nonzero element a has a multiplicative inverse, i.e., an element x with a·x = x·a = 1. Stated differently, a ring is a division ring if and only if the group of units equals the set of all nonzero elements.Division rings differ from fields only in that their multiplication is not required to be commutative. However, by Wedderburn's little theorem all finite division rings are commutative and therefore finite fields. Historically, division rings were sometimes referred to as fields, while fields were called “commutative fields”.".
- Division_ring wikiPageExternalLink ?op=getobj&from=objects&id=3627.
- Division_ring wikiPageID "9067".
- Division_ring wikiPageRevisionID "595838941".
- Division_ring hasPhotoCollection Division_ring.
- Division_ring subject Category:Ring_theory.
- Division_ring comment "In abstract algebra, a division ring, also called a skew field, is a ring in which division is possible. Specifically, it is a nonzero ring in which every nonzero element a has a multiplicative inverse, i.e., an element x with a·x = x·a = 1. Stated differently, a ring is a division ring if and only if the group of units equals the set of all nonzero elements.Division rings differ from fields only in that their multiplication is not required to be commutative.".
- Division_ring label "Anillo de división".
- Division_ring label "Corpo (matematica)".
- Division_ring label "Corps (mathématiques)".
- Division_ring label "Delingsring (Ned) / Lichaam (Be)".
- Division_ring label "Division ring".
- Division_ring label "Pierścień z dzieleniem".
- Division_ring label "Schiefkörper".
- Division_ring label "Тело (алгебра)".
- Division_ring label "斜体 (数学)".
- Division_ring label "除环".
- Division_ring sameAs Těleso_(algebra).
- Division_ring sameAs Schiefkörper.
- Division_ring sameAs Anillo_de_división.
- Division_ring sameAs Corps_(mathématiques).
- Division_ring sameAs Corpo_(matematica).
- Division_ring sameAs 斜体_(数学).
- Division_ring sameAs 나눗셈_환.
- Division_ring sameAs _Lichaam_(Be).
- Division_ring sameAs Pierścień_z_dzieleniem.
- Division_ring sameAs m.02hj_.
- Division_ring sameAs Q650741.
- Division_ring sameAs Q650741.
- Division_ring wasDerivedFrom Division_ring?oldid=595838941.
- Division_ring isPrimaryTopicOf Division_ring.