• Source: Regular scheme

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.




See also


Étale morphism
Dimension of an algebraic variety
Glossary of scheme theory
Smooth completion




References

Kata Kunci Pencarian:

• Britania Raya
• Proyek Strategis Nasional
• Felipe VI dari Spanyol
• Rekayasa akustik
• Akustika
• Grup ruang
• Gin no Saji
• Regular scheme
• Regular local ring
• Regular expression
• Scheme (mathematics)
• Ponzi scheme
• Divisor (algebraic geometry)
• Cohen–Macaulay ring
• Normal scheme
• Midday Meal Scheme
• Pyramid scheme