On the spectrum of monoids and semilattices

Mathematics – Algebraic Geometry

Scientific paper

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Scientific paper

In recent years, there has been some interest in doing algebraic geometry
over monoids, instead of rings. The aim of this short note is to classify the
affine case of fintely generated monoids. In particular, the reduction theorem
shows that the spectrum of a monoid, as well as its topology is 'trivial'.

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