What is ideal quotient?

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)