If (R, m) is a local ring then
dim R = dim Rm = codim m.
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- Localization commutes with finite product of rings.
- Extending exact sequence
- Splitting exact sequence
- Tensor product
- Topological sum
- Subspace topology
- Union of subcomplexes
- Intersection of simplices
- Uniqueness in simplicial complex
- Simplicial topology
- Relative homology
- Simplicial map
- Regular sequence
- Direct sum and localization
- Ring homomorphism
- Field
- Quotient ring
- Chain condition is preserved upon restriction and ...
- Minimality is not that special
- Localizing with prime
- Zero ideal
- Minimal number of generators of a prime
- Maximals can see ideal partial orders
- Fraction field
- The union of two polytopes is a polytope
- The complement of the star at v is the union of al...
- The closure and union operations on a set of simpl...
- No title
- Compact subset of a polytope is contained in a fin...
- Simplices in |K|
- Subcomplex is a closed subspace
- Singular chain map
- Quotient of local ring
- Prime minimality over an ideal
- Codimension of local rings
- Dimension invariance under localization
- Atiyah MacDonald Commutative Algebra Error
- Polynomial ring
- Dimensions
- Prime of codimension n is minimal over an ideal ge...
- Butterfly & slug
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September
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