Wikipedia:Reference desk/Archives/Mathematics/2018 July 8
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July 8
editas a localization
editIn the principal ideal domain , the element is a unit of infinite multiplicative order. Does there exist a subring R of containing but not its inverse such that is isomorphic to the localization of R at the multiplicative set of powers of as R-algebras? If so, will R also be a PID, or at least a UFD? GeoffreyT2000 (talk) 20:00, 8 July 2018 (UTC)
- Any subring of which contains must also contain and thus must also contain which renders the rest of your question moot. –Deacon Vorbis (carbon • videos) 20:47, 8 July 2018 (UTC)