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Formalized Mathematics

(a computer assisted approach)

Editor-in-Chief: Matuszewski, Roman

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1898-9934
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Volume 23, Issue 2 (Jun 2015)

Issues

Finite Product of Semiring of Sets

Roland Coghetto
  • Rue de la Brasserie 5 7100 La Louvière, Belgium
Published Online: 2015-08-13 | DOI: https://doi.org/10.1515/forma-2015-0011

Abstract

We formalize that the image of a semiring of sets [17] by an injective function is a semiring of sets.We offer a non-trivial example of a semiring of sets in a topological space [21]. Finally, we show that the finite product of a semiring of sets is also a semiring of sets [21] and that the finite product of a classical semiring of sets [8] is a classical semiring of sets. In this case, we use here the notation from the book of Aliprantis and Border [1].

MSC: 28A05; 03E02; 03B35

Keywords: set partitions; semiring of sets

MML: identifier: SRINGS_4; version: 8.1.045.32.1237

References

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About the article

Received: 2015-04-19

Published Online: 2015-08-13

Published in Print: 2015-06-01



Citation Information: Formalized Mathematics, ISSN (Online) 1898-9934, DOI: https://doi.org/10.1515/forma-2015-0011. Export Citation

© by Roland Coghetto. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. (CC BY-NC-ND 3.0)

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