Division by zero in common meadows
| Authors | |
|---|---|
| Publication date | 22-03-2021 |
| Edition | v4 |
| Number of pages | 17 |
| Publisher | ArXiv |
| Organisations |
|
| 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 | Preprint |
| Note | Versions v1 and v2 (2014) and version v3 (2019) also available on ArXiv. |
| Language | English |
| Related publication | Division by zero in common meadows |
| Published at | https://doi.org/10.48550/arXiv.1406.6878 |
| Downloads |
Division by zero in common meadows v4
(Submitted manuscript)
|
| Permalink to this page | |
