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arxiv: 1812.08362 · v1 · pith:VRJUFS6Bnew · submitted 2018-12-20 · 🧮 math.CO · math.LO

A nonstandard take on central sets

classification 🧮 math.CO math.LO
keywords algebracentralnonstandardperspectivebasicelementsemployedfeature
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We present the basic theory of central subsets of semigroups from the nonstandard perspective. A key feature of this perspective is the replacement of the algebra of ultrafilters with the algebra of elements of iterated hyperextensions, a technique first employed by Mauro Di Nasso.

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