Mathematical Notes

, Volume 74, Issue 3–4, pp 346–351 | Cite as

About the Notion of Semiring of Sets

  • D. F. Goguadze


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

semiring partition of a set continuation of a partition multiplicative class of sets product of partitions 


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    A. N. Kolmogorov and S. V. Fomin, Elements of Function Theory and Functional Analysis[in Russian], Nauka, Moscow, 1972.Google Scholar
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    P. Halmos, Measure Theory, Van Nostrand, New York, 1950.Google Scholar

Copyright information

© Plenum Publishing Corporation 2003

Authors and Affiliations

  • D. F. Goguadze
    • 1
  1. 1.N. Muskhelishvili Institute for Computational MathematicsTbilisiGeorgia

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