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Valuation ring: Revision history


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  • curprev 14:5914:59, 12 May 2022Joel Brennan talk contribs 23,690 bytes +40 Undid revision 1087230587 by TakuyaMurata (talk) Divisibility is not defined up to units; see Divisibility (ring theory).We can have a|b & b|a without a=b which makes divisibility not antisymmetric,e.g.±2 in ℤ;such elements are called associates–in a domain this is equivalent to elements being unit multiples.If one quotients the underlying set of a ring by associateness _then_ divisibility becomes "up to units" on the quotient undo Tag: Undo

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