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Representations of semimodules by sections of sheaves

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Abstract

The aim of this paper is to study the conditions on the subsemimodule A S of the semimodule Γ(P) of all global sections of a sheaf P implying A S = Γ(P). Some applications of the developed construction are shown: namely, the Lambek representations for semimodules over strongly harmonic and reduced Rickart semirings as well as Pierce representations for semimodules over arbitrary semirings were proved to be isomorphic.

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References

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Authors and Affiliations

  1. Vyatka State University of Humanities, Kirov, Russia

    V. V. Chermnykh

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  1. V. V. Chermnykh
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Correspondence to V. V. Chermnykh.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 13, No. 2, pp. 195–204, 2007.

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Chermnykh, V.V. Representations of semimodules by sections of sheaves. J Math Sci 154, 256–262 (2008). https://doi.org/10.1007/s10958-008-9164-6

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  • DOI: https://doi.org/10.1007/s10958-008-9164-6

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