Associative rings and algebras Basic notions Concept
Ring homomorphism
Summary
A ring homomorphism is a map between two rings that preserves addition, multiplication and the identity element. The definition of a ring homomorphism gives the conditions.
Where this leads
21 pages build on this one.
- Direct limit of rings
- Étale morphism of rings
- Ore localization
- Category of rings
- Difference algebra
- Witt vectors
- Formally smooth map
- Tensor product of algebras
- Ore extension
- Standard part function
- Skew polynomial ring
- Localization
- Crystalline cohomology
- Cohn localization
- Epimorphism
- Spectrum of a ring
- Localization of a space
- Local homomorphism
- Morphism of varieties
- Toric ideal
- Anti-equivalence of affine schemes and rings
Further reading
- Web https://en.wikipedia.org/wiki/Ring_homomorphism, lead section
About this page
| Tag | 0VTH8KPCG2 |
|---|---|
| URI | m2://0VTH8KPCG2 |
| Kind | concept |
| Writing | W1 stated |
| MSC | 16B99 |
| Same as |
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What this page needs for W2
- edge instance_of in: at least two examples (0 of 2)
- edge not_instance_of in: at least one non-example (0 of 1)
The writing levels say how complete the text of a page is. They do not measure its truth.
What links here
Special cases
Definitions
Used by
- Direct limit of rings
- Étale morphism of rings
- Ore localization
- Category of rings
- Difference algebra
- Witt vectors
- Formally smooth map
- Tensor product of algebras
- Ore extension
- Standard part function
- Skew polynomial ring
- Localization
- Cohn localization
- Epimorphism
- Spectrum of a ring
- Local homomorphism
- Morphism of varieties
- Toric ideal
- Anti-equivalence of affine schemes and rings