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In algebraic geometry, a regular scheme is a locally Noetherian scheme whose local rings are regular everywhere. Every smooth scheme is regular, and every regular scheme of finite type over a perfect field is smooth. For an example of a regular scheme that is not smooth, see Geometrically regular ring#Examples.

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  • In algebraic geometry, a regular scheme is a locally Noetherian scheme whose local rings are regular everywhere. Every smooth scheme is regular, and every regular scheme of finite type over a perfect field is smooth. For an example of a regular scheme that is not smooth, see Geometrically regular ring#Examples. (en)
  • Inom algebraisk geometri, en del av matematiken, är ett regelbundet schema ett vars är överallt. Varje är regelbundet, och varje regelbundet schema över en är slätt. (sv)
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  • In algebraic geometry, a regular scheme is a locally Noetherian scheme whose local rings are regular everywhere. Every smooth scheme is regular, and every regular scheme of finite type over a perfect field is smooth. For an example of a regular scheme that is not smooth, see Geometrically regular ring#Examples. (en)
  • Inom algebraisk geometri, en del av matematiken, är ett regelbundet schema ett vars är överallt. Varje är regelbundet, och varje regelbundet schema över en är slätt. (sv)
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  • Regular scheme (en)
  • Regelbundet schema (sv)
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