On smítal property

In this paper, we define and study the property called Sm´ıtal property for the pair (M, I), where M denotes a σ-algebra of subsets of real line and I ⊂ M is a σ-ideal. It is a generalization of Sm´ıtal lemma. We give some examples of pairs (M, I) having Sm´ıtal property and pairs which do not have this property.