Monoid Properties as Invariants of Toposes of Monoid Actions

Author:

Hemelaer JensORCID,Rogers MorganORCID

Abstract

AbstractWe systematically investigate, for a monoid M, how topos-theoretic properties of $${{\,\mathrm{\mathbf {PSh}}\,}}(M)$$ PSh ( M ) , including the properties of being atomic, strongly compact, local, totally connected or cohesive, correspond to semigroup-theoretic properties of M.

Funder

INdAM-DP-COFUND-2015

Universiteit Antwerpen

Publisher

Springer Science and Business Media LLC

Subject

General Computer Science,Theoretical Computer Science,Algebra and Number Theory

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