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      Toposes of Discrete Monoid Actions

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          Abstract

          Properties of toposes of right \(M\)-sets are studied, and these toposes are characterised up to equivalence by their canonical points. The solution to the corresponding Morita equivalence problem is presented in the form of an equivalence between a 2-category of monoids and the corresponding 2-category of toposes.

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          Characterizations of Morita equivalent inverse semigroups

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            Author and article information

            Journal
            24 May 2019
            Article
            1905.10277

            http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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            20M30, 18A25
            14 pages. Project under the INdAM Doctoral Programme in Mathematics and/or Applications Cofunded by Marie Sklodowska-Curie Actions, INdAM-DP-COFUND-2015, grant number 713485. Uploaded 24/05/2019
            math.CT math.RA

            General mathematics, Algebra

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