# Article

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Keywords:
intersection ideal ${\mathcal{M}}\cap {\mathcal{N}}$; null additive set; meager additive set
Summary:
We prove in ZFC that every ${\mathcal{M}}\cap {\mathcal{N}}$ additive set is ${\mathcal{N}}$ additive, thus we solve Problem 20 from paper [Weiss T., {A note on the intersection ideal ${\mathcal{M}}\cap {\mathcal{N}}$}, Comment. Math. Univ. Carolin. {54} (2013), no. 3, 437-445] in the negative.
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