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Extension of congruences on semirings of continuous functions

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An Erratum to this article was published on 01 August 2009

Abstract

The lattices of congruences of semirings and semifields of continuous nonnegative functions over an arbitrary topological space are studied. It is proved that congruences of the semifield of continuous positive functions can be extended to congruences of the semiring of continuous nonnegative functions.

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References

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Authors and Affiliations

  1. Vyatka State Humanitarian University, Kirov, Russia

    E. M. Vechtomov & D. V. Chuprakov

Authors
  1. E. M. Vechtomov
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  2. D. V. Chuprakov
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Correspondence to E. M. Vechtomov.

Additional information

Original Russian Text © E. M. Vechtomov, D. V. Chuprakov, 2009, published in Matematicheskie Zametki, 2009, Vol. 85, No. 6, pp. 803–816.

An erratum to this article can be found at http://dx.doi.org/10.1134/S0001434609070165

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Vechtomov, E.M., Chuprakov, D.V. Extension of congruences on semirings of continuous functions. Math Notes 85, 767–779 (2009). https://doi.org/10.1134/S0001434609050198

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  • DOI: https://doi.org/10.1134/S0001434609050198

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