Division Ring
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division ring [di′vizh·ən ‚riŋ]

(mathematics)

A ring in which the set of nonzero elements form a group under multiplication.

More generally, a nonassociative ring with nonzero elements in which, for any two elementsaandb,there are elementsxandysuch thatax=bandya=b.

Division Ring

a set of elements for which operations of addition, subtraction, multiplication, and division are defined that have the usual properties of the operations on numbers, except that the operation of multiplication need not be commutative. The set of quaternions is an example of a division ring. If multiplication of elements of a division ring is commutative, the division ring is a field.

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No references found			For such a plane the following algebraic result (Skornyakov [52], Bruck and Kleinfeld [53]) is important: Every ordered alternative quasifield is a skewfield. Betweenness plane geometry and its relationship with convex, linear, ... by Lumiste, Ulo / Proceedings of the Estonian Academy of Science Physics/Mathematics			skew Hermitian matrix skew hinge skew level gear Skew Lines skew matrix skew nailing skew plane skew product skew putt skew quadrilateral skew surface skew table skew vault skew-symmetric determinant skew-symmetric matrix skew-symmetric tensor skewback skewbald Skewbald Horde skewed skewed bridge skewed connection skewed density function skewer Skewes number Skewfield skewness Skhod, Selskii Skhodnia Skhodnitsa ski Ski Jump ski jumping ski lift ski stick ski tow skiagraph skialith skiascope Skiascopy Skiatron skiboarding Skibobbing Skid skid boulder skid platform skid road skid row skid-mounted Skidan, Karp Skidan, Karp Pavlovich			skewed density function Skewed distribution Skewed distribution Skewed distribution Skewed distribution Skewed distribution Skewed Distributions skewed family skewed family skewed family skewed family skewed family Skewed Gas Flow Technology Skewed X Inactivation Skewedness skewer skewer skewer skewer wood skewered skewered skewered skewering skewering skewering skewers skewers skewers Skewes number Skewes' number Skewfield skewing skewing skewing Skewless Optical Data Link skewness skewness skewness skewness Skewness of Nuclear Roundness Factor skewomorph skews skews skews skewwhiff SKEYS SKF SKFH SKFI SKFLSA SKFV SKG SKGA SKGABC SKGB SKGC SKGE SKGF SKGFR SKGSL SKGZ

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Division Ring (redirected from Skewfield)

Division Ring
(redirected from Skewfield)