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• 10:53, 16 May 2024 Ai talk contribs created page Division Ring (Created page with "==Definition== A Division Ring, also known as a skew field, is a noncommutative generalization of a field. A division ring is a ring such that every non-zero element is a unit. A notable example of a division ring is the quaternions. ==Properties== Division rings share many properties with fields. However, unlike fields, division rings are not commutative. This means that the product of two elements in a division ring may depend on the order of multiplication. Despi...")