About the Notion of Semiring of Sets

We introduce a generalized notion of semiring and prove that all known properties that semirings have according to the old definition are preserved.     

On the relationship between the Kolmogorov and Henstock integrals

The Henstock integrals are proved to be narrower than the Kolmogorov integral. Translated fromMatematicheskie Zametki, Vol. 60, No. 6, pp. 832–844, December, 1996. In conclusion, it should be mentioned that this work is stimulated by the author's personal conversation with Proffessor V. Skvortsov, who pointed out the significance of studying the relationship between the Kolmogorov and Henstok integrals.