Geodesic
About the Notion of Semiring of Sets
Matematičeskie zametki, Tome 74 (2003) no. 3, pp. 362-368 
D. F. Goguadze. About the Notion of Semiring of Sets. Matematičeskie zametki, Tome 74 (2003) no. 3, pp. 362-368. http://geodesic.mathdoc.fr/item/MZM_2003_74_3_a4/
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     title = {About the {Notion} of {Semiring} of {Sets}},
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Voir la notice de l'article provenant de la source Math-Net.Ru

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

[1] Kolmogorov A. N., Fomin S. V., Elementy teorii funktsii i funktsionalnogo analiza, Nauka, M., 1972

[2] Khalmosh P., Teoriya mery, IL, M., 1953