## Ideal Quotient

In abstract algebra, if *I* and *J* are ideals of a commutative ring *R*, their **ideal quotient** (*I* : *J*) is the set

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### Some articles on ideal quotient:

**Ideal Quotient**- Geometric Interpretation

... The

**ideal quotient**corresponds to set difference in algebraic geometry ... (not necessarily a variety), then I(V) I(W) = I(V \ W), where I denotes the taking of the

**ideal**associated to a subset ... If I and J are

**ideals**in k, then Z(I J) = cl(Z(I) \ Z(J)) where "cl" denotes the Zariski closure, and Z denotes the taking of the variety defined by the

**ideal**I ...

### Famous quotes containing the word ideal:

“The *ideal* place for me is the one in which it is most natural to live as a foreigner.”

—Italo Calvino (1923–1985)