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单词 MazursStructureTheorem
释义

Mazur’s structure theorem


Any normed associative real division algebra is isomorphicPlanetmathPlanetmathPlanetmath to one of the following:

  • The real numbers .

  • The complex numbersMathworldPlanetmathPlanetmath .

  • The quaternions .

The next generalizationPlanetmathPlanetmath, the octonions, often viewed as the “complexification” of the quaternions, fails to be associative.

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更新时间:2025/5/3 21:46:51