Division by zero in common meadows

Open Access
Authors
Publication date 27-06-2014
Number of pages 13
Publisher Ithaca, NY: ArXiv
Organisations
  • Faculty of Science (FNWI) - Informatics Institute (IVI)
Abstract 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.
Document type Working paper
Note Later version on arXiv.org 22 December 2014.
Language English
Published at http://arxiv.org/abs/1406.6878v1
Downloads
1406.6878v1.pd (Submitted manuscript)
Permalink to this page
Back