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Lambek Functional Representation of Generalized Symmetric Semirings

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Abstract

This article defines almost symmetric and generalized symmetric semirings. These notions generalize symmetric semirings, as well as almost symmetric rings and pseudosymmetric rings. Isomorphic representations of these semirings by sections of the Lambek sheaf of semirings are obtained.

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Correspondence to E. M. Vechtomov or V. V. Chermnykh.

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Translated by A. Muravnik

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Vechtomov, E.M., Chermnykh, V.V. Lambek Functional Representation of Generalized Symmetric Semirings. Russ Math. 67, 23–31 (2023). https://doi.org/10.3103/S1066369X2302007X

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  • DOI: https://doi.org/10.3103/S1066369X2302007X

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