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单词 DivisionRing
释义

division ring


A division ring is a ring D with identityPlanetmathPlanetmath such that

  • 10

  • For all nonzero aD, there exists bD with ab=ba=1

Every field is a commutativePlanetmathPlanetmathPlanetmath division ring. The Hamiltonian quaternions are an example of a division ring which is not a field.

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更新时间:2025/5/4 12:49:50