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- Q5384446 subject Q8234760.
- Q5384446 abstract "In algebraic geometry, a field of mathematics, an equidimensional scheme (or, pure dimensional scheme) is a scheme all of whose irreducible components are of the same dimension. All irreducible schemes are equidimensional.In affine space, the union of a line and a point not on the line is not equidimensional. In general, if two closed subschemes of some scheme, neither containing the other, have unequal dimensions, then their union is not equidimensional.If a scheme is smooth (for instance, étale) over Spec k for some field k, then every connected component (which is then in fact an irreducible component), is equidimensional.".
- Q5384446 wikiPageWikiLink Q1155772.
- Q5384446 wikiPageWikiLink Q16783922.
- Q5384446 wikiPageWikiLink Q180969.
- Q5384446 wikiPageWikiLink Q382698.
- Q5384446 wikiPageWikiLink Q395.
- Q5384446 wikiPageWikiLink Q6073574.
- Q5384446 wikiPageWikiLink Q7546431.
- Q5384446 wikiPageWikiLink Q8078428.
- Q5384446 wikiPageWikiLink Q8234760.
- Q5384446 comment "In algebraic geometry, a field of mathematics, an equidimensional scheme (or, pure dimensional scheme) is a scheme all of whose irreducible components are of the same dimension. All irreducible schemes are equidimensional.In affine space, the union of a line and a point not on the line is not equidimensional.".
- Q5384446 label "Equidimensional scheme".