Commutative algebra Basic notions Concept
Ideal quotient
Summary
The ideal quotient of two ideals of a commutative ring is the set of elements that multiply into . It is an ideal that contains . It plays the role of division for ideals. It is used in primary decomposition, in the study of associated primes, and in computing the closure of a difference of two algebraic sets.
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| Tag | 16J9DM8V57 |
|---|---|
| URI | m2://16J9DM8V57 |
| Kind | concept |
| Writing | W0 stub |
| MSC | 13A15 |
| Same as | |
| Changed | 2 November 2026 |
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