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Groups and rings definable in d-minimal structures
[article]
2021
arXiv
pre-print
We study groups and rings definable in d-minimal expansions of ordered fields. We generalize to such objects some known results from o-minimality. In particular, we prove that we can endow a definable group with a definable topology making it a topological group, and that a definable ring of dimension at least 1 and without zero divisors is a skew field.
arXiv:1205.4177v2
fatcat:7kvkr4sxybfbxoomrnwdlhc2vq