Associative rings and algebras Basic notions Concept
Quotient ring
Summary
The quotient ring of a ring by a two-sided ideal is the set of the cosets of the ideal. Its operations come from the operations of the ring. The integers modulo are the main example. The definition of the quotient ring gives the construction.
Where this leads
19 pages build on this one.
- Clifford algebra
- Complete local ring
- Ideal norm
- Residue field
- Galois ring
- Regular chain
- Formally smooth map
- Coordinate ring
- Weyl algebra
- Stanley–Reisner ring
- Completion is flat
- Completion of a ring
- Sullivan minimal model
- Associated graded ring
- AKS primality test
- Finitely presented algebra
- Integer factorization
- Symmetric algebra
- Colombeau algebra
Further reading
- Web https://en.wikipedia.org/wiki/Quotient_ring, lead section
About this page
| Tag | 0076HWHGHQ |
|---|---|
| URI | m2://0076HWHGHQ |
| Aliases | factor-ring |
| Kind | concept |
| Writing | W1 stated |
| MSC | 16D25 |
| Specializes | Ring |
| 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)
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