Seminar
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| Location: | SLMath: Eisenbud Auditorium, Online/Virtual |
Keywords and Mathematics Subject Classification (MSC)
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An Axiomatization Of Products Of Rings
We axiomatize the class of commutative unital rings which are elementarily equivalent to a non-trivial product of commutative unital connected rings. An example of a ring in this class is $M/nM$ where $M$ is a model of Peano Arithmetic (PA). This is part of a joint work with A.\ Macintyre on the model theoretic analysis of residue rings of models of PA.
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