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Division by zero in common meadows

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 نشر من قبل Alban Ponse
 تاريخ النشر 2014
  مجال البحث
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Common meadows are fields expanded with a total inverse function. Division by zero produces an additional value denoted with a that propagates through all operations of the meadow signature (this additional value can be interpreted as an error element). We provide a basis theorem for so-called common cancellation meadows of characteristic zero, that is, common meadows of characteristic zero that admit a certain cancellation law.



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