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Reduced Rickart semirings and their functional representations

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Abstract

In this paper, we consider reduced semirings with supplementary conditions of annihilators, namely these are Rickart and weakly Rickart semirings. The main aim of the paper is to study functional representations of semirings. We build two sheaves of semirings and prove that a reduced Rickart semiring is presented by sections of these sheaves.

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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. 205–215, 2007.

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Chermnykh, V.V. Reduced Rickart semirings and their functional representations. J Math Sci 154, 263–269 (2008). https://doi.org/10.1007/s10958-008-9165-5

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  • DOI: https://doi.org/10.1007/s10958-008-9165-5

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