Height of Product of Ideals

Let RR be any Noetherian ring and II and JJ be ideals in RR. Is it possible to find an equation with ht(I)\mathrm{ht}(I) and ht(J)\mathrm{ht}(J) which give us ht(IJ)\mathrm{ht}(IJ)?

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The same you can find between inf(A∪B)\inf(A\cup B) and infA\inf A, respectively \inf B\inf B.
– user26857
2 days ago

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